How to solve an absolute value equation

1 basic absolute value equation, 3 detailed explanations. We must know how to solve absolute value equations for our algebra classes and also for the SAT math test. Subscribe to @bprpmathbasics for more algebra tutorials like this.

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"Just Algebra" (by blackpenredpen) is dedicated to helping middle school, high school, and community college students who need to learn algebra. Topics include how to solve various equations (linear equations, quadratic equations, square root equations, rational equations, exponential equations, logarithmic equations, and more), factoring techniques, word problems, functions, graphs, Pythagorean Theorem, and more. We will also cover standardized test problems such as the SAT. Feel free to leave your questions in the comment!
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#justalgebra

[Nine]

or square both sides of eq.
|x-2|² = 5²
then use difference of squares
(x-2)² - 5² = 0
(x-2+5)(x-2-5) = 0

[wuyqrbt]

*Thanks God* 🙏 .... *Just Algebra* is still *Just Algebra* 😉

[kujmous]

Can you do a similar video with absolute values and inequalities?

[Lordmewtwo]

Just here because the thumbnail caught my eye and I feel the need to comment. In the thumbnail, the absolute value sign was crossed out and the plus/minus added in front of the 5 with the question "why?" |x-2|=5 x-2=+/-5 (in which case x=7 or -3 but I digress) by the very nature of absolute value. Absolute value of a number is always a positive integer or 0 which is equidistant from 0 of the number you're taking the absolute value, at least with real numbers. I'm not sure how complex numbers work with absolute value. Edit: looked it up and it's the distance between the origin and the point representing the number on the complex plane. A complex plane is basically a standard cartesian plane except the x-axis represents all real numbers and the y-axis represents all coefficients of i. In other words, the absolute value of x+yi is sqrt(x^2+y^2).

[SuperYoonHo]

that was very cool...
easy but fun...
on these channels they do math for fun.
i love those i^i or cbrt of i or ith root of i

[Ricardo_S]

All the point that are a distance of 5 to the center, with complex numbers, so de answer will be x=5cos(θ)+2+5sen(θ)i
If θ=0, x=7, if θ=π, x=-3
if θ=π/2, x=2+5i

[esahadad]

how about modulus reciprocal inequalities.

[mohammedalmalki]

Good master iam master engineer electrician and electronic i loves math you are simply equation mathematic

[reactoranime]

Challenge: Math exam 2011 in Latvia for 18y/o school: log_a ^2 (x-a)>1, solve for all possible "a" values. (square log base a).

[chenyuankhai]

@just algebra can I ask what is your Chinese channel name?

[OscarMorales-wnql]

Good Morning!
In your presentation you have didactic and methodicals errors, which I think you should correct
The three ways you present how to solve an equation have errors which many people make.
I wish a good day.

[ratandmonkey]

3:35 why isn't SQRT ( X^2) = +-X ? Output of SQRT can be pos or neg.
I guess it's just the definition of the principal square root.

[militantpacifist]

There’s also another way: |X-2|=5 —> -(X-2)=5, (X-2)=5 —> 2-X=5 subtract 2 and then divide by -1 which gives X=-3 and the second equation add 2 to both sides which gives X=7

[letranger]

I like to think of algebra as a beautiful game of chess, with the right and strategic moves you win the game. well.. I took checkmate in two :)

[BartBuzz]

I'm accustomed to removing the |x-2| such that +/-(x-2)=5. I guess it's a matter of how I learned back in the day 🤔

[militantpacifist]

Integrals with absolute values should happen.

[pedrosso]

|x-2|=5
x-2=5 e^(iθ)
x=2+5 e^(iθ) forall real θ.
This includes 7 at θ=0 and -3 at θ=π/2

[northdakotafacts]

North Dakota Fact:
The lieutenant governor of North Dakota is Brent Sanford.
Bonus fact:
Mathematics was invented in North Dakota.