Question

Which equation results from taking the square root of both sides of (x + 9)2 = 25?
x + 3 = ±5
x + 3 = ±25
x + 9 = ±5
x + 9 = ±25

Answer 1

remember to take positive and negative root because
(x)²=(-x)²
likewise
(5)²=(-5)²=25

sqrt both sides


x+9=+/-5

Answer 2

So, the correct equation is equivalent to the x + 9 = ±5. The third option is correct.

What is the quadratic equation?

It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation. The general form of the quadratic equation is ax² + bx + c.

Given

(x + 9)² = 25 is a quadratic equation.

How to find the equation results from taking the square root of both sides?

(x + 9)² = 25 is a quadratic equation.

Taking square root on both sides.

(x + 9) = √25

(x + 9) = ±5

So, the equation is equivalent to the x + 9 = ±5.

Thus, the third option is correct.

More about the quadratic equation link is given below.

https://brainly.com/question/2263981