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

Step-by-step 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

`√(\left(x+4\right)²)=√(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