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Determine the solution(s) of the equation x^2 = 36

Determine the solution(s) of the equation x^2 = 36-example-1
User Robert Wahler
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2 Answers

11 votes
11 votes

Hello! My name's Cupcake, And I will be helping you today! :D

In order to solve this equation, we need to take the square root of both sides.

Why? Because we need to isolate x. Our goal is:- To find the value of x.

So in order to get rid of the square and find the value of x, we take the square root of both sides:-

x^2=36

x=6, x=-6 (solutions)

Hope it helps!

Any queries - comment !

User Shawn Jacobson
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2.6k points
12 votes
12 votes

hello!

In order to solve this equation, we need to take the square root of both sides (in order to get rid of the square and isolate x, because we are asked to determine the value(s) of x)

x²=36

√x²=√36

x=6

Is this the only solution?

A negative times a negative is a positive...

-6 is another solution of this equation! :)

Hence, the answers are:-


\boxed{\boxed{\bold{x=6; ~x=-6}}}

note:-

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

User Peike
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3.0k points