Home > Pre-Algebra > Roots > Solving Square Root Equations

## Examples

$4x^2 = 784$
 $4x^2$ $=$ $784$ $/4$ $=$ $/4$ $x^2$ $=$ $196$ $\sqrt{x^2}$ $=$ $\sqrt{196}$ $x$ $=$ $\pm14$
$5x^2 - 3 = 842$
 $5x^2 - 3$ $=$ $842$ $+3$ $=$ $+3$ $5x^2$ $=$ $845$ $/5$ $=$ $/5$ $x^2$ $=$ $169$ $\sqrt{x^2}$ $=$ $\sqrt{169}$ $x$ $=$ $\pm13$
$x^2 = 49$
 $x^2$ $=$ $49$ $\sqrt{x^2}$ $=$ $\sqrt{49}$ $x$ $=$ $\pm7$