## Algebra: A Combined Approach (4th Edition)

$x=\left\{ -\sqrt{10},\sqrt{10}\right\}$
$\bf{\text{Solution Outline:}}$ To solve the given equation, $x^2-10=0 ,$ express first in the form $x^2=c.$ Then take the square root of both sides. $\bf{\text{Solution Details:}}$ Using the properties of equality, the given equation is equivalent to \begin{array}{l}\require{cancel} x^2=0+10 \\\\ x^2=10 .\end{array} Taking the square root of both sides (Square Root Property), the equation above is equivalent to \begin{array}{l}\require{cancel} x=\pm\sqrt{10} .\end{array} Hence the solutions are $x=\left\{ -\sqrt{10},\sqrt{10}\right\} .$