Question

solve ((x + 9)^2 = 25).

1. apply the square root property of equality:
2. isolate the variable.

(sqrt{(x + 9)^2} = pmsqrt{25})
if (x + 9 = 5), then (x =) (square)
if (x + 9 = -5), then (x =) (square)

Explanation:

Step1: Solve for x when \(x + 9 = 5\)

To isolate \(x\), we subtract 9 from both sides of the equation.
\(x = 5 - 9\)
\(x = -4\)

Step2: Solve for x when \(x + 9 = -5\)

To isolate \(x\), we subtract 9 from both sides of the equation.
\(x = -5 - 9\)
\(x = -14\)

Answer:

If \(x + 9 = 5\), then \(x = -4\).
If \(x + 9 = -5\), then \(x = -14\).