Question

what are the solutions to (x + 4)² = 25 ?A) -21 and 29 B) -29 and 21C) -9 and 1D) 9 and -1

Answer 1

Explanation:

We are told to simplify the expression:

$\left(x+4\right)²=25$

To do so, we will follow the steps below:

Step 1: Find the square root of both sides

$\sqrt{\left(x+4\right)²}=\sqrt{25}$

Simplifying, we will have

$x+4=\pm5$

Step 2: Find the values of x

$\begin{gathered} x+4=+5,\text{ x+4=-5} \\ x=+5-4,\text{ x=-5-4} \\ x=1,x=-9 \end{gathered}$

Therefore, the solutions to the quadratic equation are:

x= 1 and x =-9

Thus, option C is correct