Question

Solve (x + 9)2 = 25. Apply the square root property of equality: Isolate the variable. = If x + 9 = 5, then x = . If x + 9 = –5, then x = .

Answer 1

Answer:

$x=-4\text{ or }x=-14$

Step-by-step explanation:

We have been given an equation $(x+9)^2=25$ and we are asked to apply the square root property of equality to our given equation and isolate the variable.

First of all, let us take square root of both sides of our equation.

$\sqrt{(x+9)^2}=\sqrt{25}$

$x+9=\pm 5$

$x+9= 5\text{ or }x+9=-5$

$x+9-9= 5-9\text{ or }x+9-9=-5-9$

$x=-4\text{ or }x=-14$

Therefore, there are two solutions for our given equation.

If $x+9=5$, then $x=-4$.

If $x+9=-5$, then $x=-14$.

Answer 2

Based on the given, by using the square root property, the following equation becomes:
(x+9)^2 = 25
extracting the roots of both sides, the equation becomes
x+9=+25, x+9=-5
If x+9 = 5, then x=-4
If x+9 = -5, then x=-14