How do you solve $x^{2} = 64$ $x^2 = 64$ ?

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Answer 1 · 2015-11-01T04:10:32

$x = \pm 8$ $x=+-8$

$[1] x^{2} = 64$ $[1]" "x^2=64$

Subtract $64$ $64$ from both sides.

$[2] x^{2} - 64 = 64 - 64$ $[2]" "x^2-64=64-64$

$[3] x^{2} - 64 = 0$ $[3]" "x^2-64=0$

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

$[4] (x + 8) (x - 8) = 0$ $[4]" "(x+8)(x-8)=0$

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

How do you solve x2=64x^2 = 64?