Which of the following are solutions to the equation x^2 = 144? Options: A) x = 12 B) x = 72 C) x = 14 D) x = -12 E) x = -72

Question

asked Jul 26, 2024 211k views

2 Answers

Veeroo · Answer 1 · 2024-07-27T16:02:08+0000

To find the solutions to this equation, we'll solve it first.

Given equation :

⇒
$\boldsymbol{x^2=144}$

To isolate our x, we need to square-root both sides of the equation.

⇒
$\boldsymbol{√(x^2)=√(144)}$

Now, be careful here - when we take the square root of a number, we have two solutions.

So, when we take the square root of x^2, we end up with x. When we square root 144, however, we get the following answers :

↠ x = 12, x = -12 (Options A and D)