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

The value of x from the expression is -4

Square root property

Given the equation

• (x+9)^2 = 25

Take the square root of both sides

$\sqrt{(x+9)} ^2=\sqrt{25} \\ x+9 = 5$

Subtract 9 from both sides of the equation

$x+9-9=5-9\\ x = -4$

Hence the value of x from the expression is -4

Learn more on square root property of equality here: https://brainly.com/question/4238296