Solve the following quadratic equation using square roots: (x+3)^2=36

Question

.(1 point)

Answer 1

To solve the equation \((x+3)^2 = 36\) using square roots, follow these steps:

1. Take the square root of both sides:

\[ x + 3 = \pm 6 \]

This gives us two equations to solve:

2. First case: \(x + 3 = 6\)

\[ x = 6 - 3 \] \[ x = 3 \]

3. Second case: \(x + 3 = -6\)

\[ x = -6 - 3 \] \[ x = -9 \]

Thus, the solutions to the equation \((x+3)^2 = 36\) are:

\[ \boxed{3} \quad \text{and} \quad \boxed{-9} \]