# How do you solve x^2 = 64?

Nov 1, 2015

$x = \pm 8$

#### Explanation:

$\left[1\right] \text{ } {x}^{2} = 64$

Subtract $64$ from both sides.

$\left[2\right] \text{ } {x}^{2} - 64 = 64 - 64$

$\left[3\right] \text{ } {x}^{2} - 64 = 0$

Factor out the quadratic equation. This is a special product (difference of two squares).

$\left[4\right] \text{ } \left(x + 8\right) \left(x - 8\right) = 0$

[5]" "color(blue)(x=-8" or "x=8)