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# Solving Quadratic Equations with Square Roots

## Solving Quadratic Equations with Square Roots 1.12 - Solution

a

To solve the equation we need to square root both sides. We must make sure to remember also the negative solution.

$x^2=9$
$x=\pm\sqrt{9}$
$x=\pm3$
b

Here, we must first divide both sides by $2.$ Once that is done we can square root both sides.

$2x^2=32$
$x^2=16$
$x=\pm\sqrt{16}$
$x=\pm4$
c

Let's continue in the same way, and square root both sides of the equation.

$x^2=\dfrac{1}{4}$
$x=\pm\sqrt{\dfrac{1}{4}}$
$x=\pm\dfrac{1}{2}$
$x=\pm0.5$