bprp math basics
bprp math basics
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This is how you should solve this equation with two absolute values
Learn how to use the definition of the absolute value, i.e. abs(x-a) represents the distance between x and a on the number line, to solve the equation abs(x-5)+abs(x+1)=6. This equation has infinitely many answers but it's not all real numbers!
Shop my math t-shirts & hoodies on Amazon: 👉 amzn.to/3qBeuw6
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I help students master the basics of math. You can show your support and help me create even better content by becoming a patron on Patreon 👉 www.patreon.com/blackpenredpen. Every bit of support means the world to me and motivates me to keep bringing you the best math lessons! Thank you!
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#math #algebra #mathbasics
Переглядів: 16 752

Відео

"Seemingly simple algebra confusing me" Reddit r/maths
Переглядів 9 тис.14 годин тому
"Seemingly simple algebra confusing me" www.reddit.com/r/maths/s/bow2oJqn6F Shop my math t-shirts & hoodies on Amazon: 👉 amzn.to/3qBeuw6 My blue jacket: 👉 amzn.to/3qBeuw6 I help students master the basics of math. You can show your support and help me create even better content by becoming a patron on Patreon 👉 www.patreon.com/blackpenredpen. Every bit of support means the world to me and motiv...
Why is the lateral area of a cone is pi*r*sqrt(r^2+h^2)?
Переглядів 12 тис.День тому
Geometry proof! Learn why the lateral area of a cone is pi*r*sqrt(r^2 h^2). This is a must-know topic for your geometry class! Shop my math t-shirts & hoodies on Amazon: 👉 amzn.to/3qBeuw6 I help students master the basics of math. You can show your support and help me create even better content by becoming a patron on Patreon 👉 www.patreon.com/blackpenredpen. Every bit of support means the worl...
Solving x^(x+3)=1
Переглядів 34 тис.День тому
How to solve an interesting equation x^(x 3)=1? #math #algebra
Help with this rational! Rationalize the denominator with radicals, Reddit r/askmaths
Переглядів 13 тис.14 днів тому
This tutorial not only answers an algebra question from Reddit but also provides a detailed overview of how to rationalize the denominator with different radicals. www.reddit.com/r/askmath/s/g3WguC2HWT
The result of increasing the quantity x by 400% is 60. What is the value of x? (SAT math percentage)
Переглядів 7 тис.14 днів тому
The result of increasing the quantity x by 400% is 60. What is the value of x? Official SAT practice tests: satsuite.collegeboard.org/sat/practice-preparation/practice-tests Shop my math t-shirts & hoodies on Amazon: 👉 amzn.to/3qBeuw6 I help students master the basics of math. You can show your support and help me create even better content by becoming a patron on Patreon 👉 www.patreon.com/blac...
How to factor a 5-term polynomial (the double-cross method)
Переглядів 6 тис.14 днів тому
Algebra tutorial on factoring a 5-term polynomial x^4-4x^3 2x-11x 12 using the double-cross method. Factoring polynomials is crucial for solving polynomial equations for your algebra and precalculus classes. Check out a harder double-cross factoring problem: ua-cam.com/video/4AS0tPluG_w/v-deo.html Check out different methods of factoring this 5-term polynomial below. By rational zero theorem: u...
How to solve this A-Level matrix problem!
Переглядів 10 тис.14 днів тому
A-Level Further Maths Question: Given a 3 by 3 matrix, show that this matrix is non-singular and find the inverse of this matrix. This question is from the A-Level maths exam qualifications.pearson.com/content/dam/pdf/A-Level/Mathematics/2017/Exam-materials/9fm0-01-que-20220526.pdf. You can see my original video: ua-cam.com/video/TSWVe7onQvc/v-deo.htmlsi=S3CsptLJDdj1UcvL Shop my math t-shirts &...
So you want “1 divided by 0” in real life?
Переглядів 29 тис.14 днів тому
So you want to see a real-life situation where we have to compute 1/0? Sure, here's an example for you when we are computing the slope of a hill (or the slope of a line). Enjoy! This comment is from my previous video on why 1/0 is undefined: ua-cam.com/video/WI_qPBQhJSM/v-deo.htmlsi=5mB0FWzIGHM8BFw0 Shop my math t-shirts & hoodies on Amazon: 👉 amzn.to/3qBeuw6 I help students master the basics o...
If log_3(a)=10 and log_3(b)=15, then log_3(a+b) is between ? and ?
Переглядів 8 тис.21 день тому
This tutorial covers a logarithm problem that you might encounter in precalculus or algebra 2 classes. The question is if log_3(a)=10 and log_3(b)=15, then log_3(a b) is between which two numbers? I posted this question on my Instagram, see the post here pC4Ros1bxYYZ/?igsh=MzRlODBiNWFlZA Shop my math t-shirts & hoodies on Amazon: 👉 amzn.to/3qBeuw6 My blue jacket: 👉 amzn.to/3qBeuw...
How to solve an exponential equation with two different bases
Переглядів 21 тис.21 день тому
This algebra tutorial covers the method of solving an exponential equation with different bases by using logarithms. For more examples of how to solve exponential equations from basics to hard, please see ua-cam.com/video/K8CQbSD9wis/v-deo.html Shop my math t-shirts & hoodies on Amazon: 👉 amzn.to/3qBeuw6 My blue jacket: 👉 amzn.to/3qBeuw6 I help students master the basics of math. You can show y...
I know I have to use Pythagorean theorem but what do I do with (x-4)^2? Reddit 9th grade geometry
Переглядів 26 тис.21 день тому
How do we solve this right triangle problem with sides x, x-4, and 8 with the Pythagorean theorem? This is a 9th-grade geometry problem from Reddit r/homeworkhelp Original post www.reddit.com/r/HomeworkHelp/s/fJoe1xitYQ Shop my math t-shirts & hoodies on Amazon: 👉 amzn.to/3qBeuw6 My blue jacket: 👉 amzn.to/3qBeuw6 I help students master the basics of math. You can show your support and help me c...
Perhaps the first time you need to simplify a nested square root! Thanks to sin(15 degrees)
Переглядів 18 тис.21 день тому
This is perhaps the first time you must learn how to simplify a nested square root expression. Evaluating sin(15 deg) with three methods: ua-cam.com/video/WwecqPzgc6A/v-deo.html Shop my math t-shirts & hoodies on Amazon: 👉 amzn.to/3qBeuw6 I help students master the basics of math. You can show your support and help me create even better content by becoming a patron on Patreon 👉 www.patreon.com/...
How many real solutions does this logarithmic equation have? (Oxford MAT)
Переглядів 7 тис.28 днів тому
How many real solutions does this logarithmic equation log_2(2x^3 7x^2 2x 3)=3log_2(x 1) 1 have? This question is from the University of Oxford Maths Admission Test in 2022. Check out more videos on the Oxford MAT: ua-cam.com/play/PLxV9sWI37OndRIfwNFUi2D2MEwMP8WNGY.html Shop my math t-shirts & hoodies on Amazon: 👉 amzn.to/3qBeuw6 I help students master the basics of math. You can show your supp...
Remaking my first rules of exponents video
Переглядів 5 тис.28 днів тому
Remaking my first rules of exponents video
sin(15 degrees) = ?
Переглядів 13 тис.Місяць тому
sin(15 degrees) = ?
What if you invested $0.02 in the S&P 500 for 70 years? Compound interest! Reddit r/theydidthemath
Переглядів 7 тис.Місяць тому
What if you invested $0.02 in the S&P 500 for 70 years? Compound interest! Reddit r/theydidthemath
Is the answer "all real numbers" or "no solution"? Reddit quadratic equation r/maths
Переглядів 29 тис.Місяць тому
Is the answer "all real numbers" or "no solution"? Reddit quadratic equation r/maths
Solving an exponential equation from Oxford
Переглядів 13 тис.Місяць тому
Solving an exponential equation from Oxford
50% of the audience thought the answer was A
Переглядів 36 тис.Місяць тому
50% of the audience thought the answer was A
SAT math: a quadratic problem
Переглядів 7 тис.Місяць тому
SAT math: a quadratic problem
Solving x^3=8
Переглядів 301 тис.Місяць тому
Solving x^3=8
How is 28 both perfect and happy?
Переглядів 11 тис.Місяць тому
How is 28 both perfect and happy?
Daughter had lax practice for 1.5 hours & says her brain is fried. Reddit algebra equation fractions
Переглядів 8 тис.Місяць тому
Daughter had lax practice for 1.5 hours & says her brain is fried. Reddit algebra equation fractions
Oxford MAT asks: "Which triangle has the biggest area?"
Переглядів 37 тис.Місяць тому
Oxford MAT asks: "Which triangle has the biggest area?"
Application of percentage: How to find the elasticity of demand? (no midpoint rule)
Переглядів 3,8 тис.Місяць тому
Application of percentage: How to find the elasticity of demand? (no midpoint rule)
This is how University of Oxford asked a square number problem on its admission test
Переглядів 153 тис.Місяць тому
This is how University of Oxford asked a square number problem on its admission test
How to multiply any 2-digit number by a 2-digit number
Переглядів 12 тис.Місяць тому
How to multiply any 2-digit number by a 2-digit number
How to find the inverse of a 3 by 3 matrix (the fast way)
Переглядів 8 тис.Місяць тому
How to find the inverse of a 3 by 3 matrix (the fast way)
I may have a PhD but I'm also failing 4th grade math 💀😭!
Переглядів 49 тис.Місяць тому
I may have a PhD but I'm also failing 4th grade math 💀😭!

КОМЕНТАРІ

  • @BeaDSM
    @BeaDSM Годину тому

    Huh. I would have said the problem was line 3, since square root of 1 has too possible answers, so the correct substitution should have been |1^0.5|, not simply 1^0.5.

  • @omegaduckie
    @omegaduckie 5 годин тому

    I understood all of that and somehow still don’t understand why step 4 to step 5 doesn’t work

  • @user-wj1qb3qu1y
    @user-wj1qb3qu1y 5 годин тому

    Area of sector is similar to area of triangle or maybe special case of it Who agree with me?

  • @haku7335
    @haku7335 8 годин тому

    Watching a guy do math without any mistakes is so entertaining bro.

  • @abyyoung5990
    @abyyoung5990 12 годин тому

    How come at the last method you don't put the 5th root of 4 on the bottom denominator?

  • @Musttaquilla
    @Musttaquilla 12 годин тому

    26 single digit is always 6 not matter the power, the 4 is the tricky one because it alternated between 4 and 6 with 4 making the number divisible by 5, we can see that even power of 4 is 6 whilst odd is 4( i.e. 4^2 is 16, 4^4 is 256 etc.., 4^1 is 4, 4^3 is 64, 4^5 is 1024, etc...) therofore the single digit for 4^8 is 6 making for 6+6 which the single digit is 2 which is not divisiable by 5.

  • @chinjunsi7752
    @chinjunsi7752 13 годин тому

    Can someone solve this for me There are 3 kinds of bananas red, green, and blue. For every 4500 red bananas sold you get 1500 dollars, for every 3000 green bananas sold you get 1000 dollars, and for every 2500 blue bananas sold you get 2500 dollars. Now, for every 100k bananas sold you'll gain 1% more money(multiplicative). If I want to sell 50 million bananas of each kind, which banana color gives me more money?

  • @SilverLight1.8e308
    @SilverLight1.8e308 14 годин тому

    (-i)^2 = -1 = i^2

    • @SilverLight1.8e308
      @SilverLight1.8e308 14 годин тому

      感觉用复平面的单位圆解释会很清晰,但是结果只是这样会出问题,我们打一个补丁。

    • @SilverLight1.8e308
      @SilverLight1.8e308 14 годин тому

      在复数集里的x符合x^4=1的有4个,因此这依然是关于如何定义根号以及分数幂的问题。

  • @Ricardo_S
    @Ricardo_S 18 годин тому

    I check wit intervals, the interval (-∞,-1) both absoluts values their negative inside and gives x=-1 but -1 its not on (-∞,-1) (Actually you can include -1 since 0=-0 but well I realized later) Then [-1,5) And you get the negative inside from x-5 but the positive from x+1 You get -x+5+x+1=6 that give us 6=6 so, al the values between [-1,5) its an answer (in this part was when I realized that 0=-0) And the las interval was [5,∞) That make the both positives than give us x=5 So [-1,5)U[5]=[-1,5] I didn't check if there are complex solutions

  • @user-pz7dx8ug4f
    @user-pz7dx8ug4f 18 годин тому

    again

  • @user-pz7dx8ug4f
    @user-pz7dx8ug4f 18 годин тому

    If its not could you explain me how to do it and how does it work

  • @user-pz7dx8ug4f
    @user-pz7dx8ug4f 18 годин тому

    Mr is |x-6| + |x(-1)| equals to -2 and 6

  • @Brightnessof_Light
    @Brightnessof_Light 22 години тому

    Isnt that basic 8 grade but with difference i mean the In? Im sorry , correct me if im wrong cause we did the same as that just not In

  • @ihatethewind
    @ihatethewind 23 години тому

    When I read this my first thought was does it matter if they all read the same paper or distinct papers? I’m not smart enough to tell though

  • @jesusthroughmary
    @jesusthroughmary День тому

    So this only works when the two "fixed points" are exactly 6 apart?

  • @Zemus777
    @Zemus777 День тому

    To be honest I do think Meghan Markle is suffering a bit. But it is mostly by her own doing. 🤷🏼‍♂️

  • @godofmath1039
    @godofmath1039 День тому

    The dude did not know how square roots work

  • @gsonz172
    @gsonz172 День тому

    Anything divided by zero is 1. That's how mathematical functions still work even with a division by zero. I needed that for my high school diploma.

    • @JP-dr7hq
      @JP-dr7hq 2 години тому

      Bruder, was?

    • @gsonz172
      @gsonz172 2 години тому

      @@JP-dr7hq ja ist echt so. Abitur lässt grüßen

  • @rajeshpawar6271
    @rajeshpawar6271 День тому

    Can you please make a video on Lagrange interpolation please please please

  • @EdwardCurrent
    @EdwardCurrent День тому

    Brilliant explanation. I'm so jealous of kids today -- and teachers today! -- who can get these great explanations and learning methods at home for free. This geometric demonstration reminded me of 3blue1brown's geometric treatments of linear algebra. So cool.

  • @vukkumsp
    @vukkumsp День тому

    Vwry interesting... In school days, I always confused why those are not same.

  • @UnknownNameUnknownNumber
    @UnknownNameUnknownNumber День тому

    Anyone remember when 1+1=2 Those were the days

  • @vinijoncrafts2882
    @vinijoncrafts2882 День тому

    My markers dissapeared, I wonder who took them 💀

  • @teoengchin
    @teoengchin День тому

    Chuck Norris can divide by zero

  • @ErdemtugsC
    @ErdemtugsC День тому

    I understand easily with powers like 2^0.2 or 2^1/5

  • @jackthehacker05
    @jackthehacker05 День тому

    Your multiplication signs are so tiny

  • @ankushcharpe3171
    @ankushcharpe3171 День тому

    Infinite ♾️ hoga

  • @wdjigaming2200
    @wdjigaming2200 День тому

    I'm gonna be like say it before watching the video Is it ln? you can use to make the numbers easier to solve

  • @eurasian23
    @eurasian23 День тому

    My older brother wrote this on the white board and told me to solve it. For contex, I am a fifth grader. Edit: computer olympiad

  • @zachansen8293
    @zachansen8293 День тому

    1:50 no, it can't, because each student reads 5. It can only satisfy 12. (and technically not even that but the math still works) so if I newspaper can satisfy 12 then 25 can satisfy 300.

  • @Mr0nknown
    @Mr0nknown День тому

    Why can x not be 0? If we divide by 0 on the very first equation top left then we get 0 is bigger than negative infinity. And with the equation at the top right, we get infinity is bigger than 0. So why doesn't that work?

  • @remty516
    @remty516 День тому

    when our teacher taught us about complex numbers, he used √-1 to explain the concept, and immediately warned us that we cannot write it down because it allows you to say anything is equal to anything. you just cannot write it down if doing proper mathematics. I find it funny how so many people can get it wrong.

  • @HD-fy2wu
    @HD-fy2wu День тому

    This reminds me of the property of an ellipse. If the right-hand side of the equation is something more than 6, the solution forms an ellipse with its focus at -1 and 5 respectively, where the vertical axis is the imaginary number axis.

  • @FreakyRufus
    @FreakyRufus День тому

    I always see the thumbnail of your videos and think I know the correct answer, but realize I don’t when I watch the video.

  • @leealex3692
    @leealex3692 День тому

    for the left ineq>1, 3X+4 must >0 because x^2>0 , so just indictical to the right ineq with additional condition: 3X+4>0, its much easier to understand

  • @colinfun
    @colinfun День тому

    But he doesn't give a logical reason why you can't. Math is a pure logic science, everything in it 'should' be able to be proven to be true given everything that has been proven true in the past. That being said, number 2 is also wrong since ironically 1+1=2 has never been proven.

    • @robertroach9157
      @robertroach9157 День тому

      "1+1=2 has never been proven" No, it has been proven countless times and in a wide variety of different ways. Your statement knocks the traditional flat-earther idiocy of "gravity has never been observed or measured" way out of the park.

    • @colinfun
      @colinfun День тому

      @@robertroach9157 Please tell me one time it has been proven, because as far as I am aware, the closest is in Principia Mathematica and they only got 1/2 way through the proof.

    • @colinfun
      @colinfun День тому

      @@robertroach9157 By the way, I want to be clear, I do accept that it is a valid equation and that it is fine to believe it only on faith, so long as we recognize that we ARE only accepting it on faith.

  • @Mediterranean81
    @Mediterranean81 День тому

    Lambert W

  • @thierryfonkoua2799
    @thierryfonkoua2799 День тому

    You should say from beginning specify if you are working in C or in R . It's possible to solve it in C like that but not in R .

  • @thierryfonkoua2799
    @thierryfonkoua2799 День тому

    √(-1) don't exist because it's a negative number

  • @hodayfa000h
    @hodayfa000h День тому

    Wait so i literally solved it in 2 secs? And it was correct? I am not joking i just looked at 6+7 = 4913 Saw that 7^2 = 49 and that 6+7 = 13 Just assumed the same for the last and did it in 2 secs

  • @butterspread4104
    @butterspread4104 День тому

    im a french student and its pretty funny bc you guys do the "sign table" in a completly different method than in france! and btw in what grade do you learn this ?`

  • @hodayfa000h
    @hodayfa000h День тому

    I feel stupid for not knowing this method that i was never taught ):

  • @teran1221
    @teran1221 День тому

    Can someone explain "the definition" in between steps 7 and 8, because I can't recall any definitions where a number to an even power doesn't have a positive value

  • @user-nn9gm6qk9u
    @user-nn9gm6qk9u 2 дні тому

    You are now 29 years old I have approximately calculated the year you published the video (2013) and subtract 5 years from 2000 (1995) = 1995 + 2024 = 2029 ~ 29 (maybe you are 35)

  • @nickb.1466
    @nickb.1466 2 дні тому

    isn't the frst mistake from (2) to (3)? sqrt 1 isn't just 1 it's 1 or -1 so 2 =1 + |sqrt 1|

  • @montesquieu0
    @montesquieu0 2 дні тому

    use graphic go brrrrrrr

  • @benspahiu7675
    @benspahiu7675 2 дні тому

    When you said “it’s not all real numbers”, I thought you meant complex solutions as well. Thinking about the standard norm in the complex plane, I saw that all solutions form an ellipse around the foci -1 and 5 (flat line since the sum of distances is 6). Looking at the comments, I’m not the only one to have noticed this, but still thought it was really neat.

  • @aamazie
    @aamazie 2 дні тому

    1 divided by 0 is 1. This is a logical and question that can go beyond to a discussion of binary and even metaphysics

    • @matthewfish2786
      @matthewfish2786 День тому

      Hello, Terrence Howard.

    • @aamazie
      @aamazie 23 години тому

      @@matthewfish2786pika

    • @aamazie
      @aamazie 23 години тому

      @@matthewfish2786 1/c = 1c

  • @samueladler9080
    @samueladler9080 2 дні тому

    Pls what if you r given a²+b²?

  • @Jude.Ifechukwu
    @Jude.Ifechukwu 2 дні тому

    2^2 × 2^2