Solve x2 – 64 = 0.

Question

Isolate x2: x2 = 64
Apply the square root property of equality: StartRoot x squared EndRoot = plus or minus StartRoot 64 EndRoot
Isolate the variable:
x =

x =

Answer 1

To solve the equation \( x^2 - 64 = 0 \):

1. Isolate \( x^2 \): \[ x^2 = 64 \]

2. Apply the square root property: \[ x = \pm \sqrt{64} \]

3. Calculate the square root: \[ x = \pm 8 \]

So the solutions are: \[ x = 8 \quad \text{and} \quad x = -8 \]