# How do you solve 2x^2-6=42?

Aug 19, 2016

$x = - 2 \sqrt{6}$ or $x = 2 \sqrt{6}$

#### Explanation:

first move the $6$ over
$2 {x}^{2} = 48$

then divide by 2
${x}^{2} = 24$

now take the square root
$x = \sqrt{24}$

since x is squared in the equation then x can be negative or positive so we must remember to include this possibility when dealing with powers that are even
$x = - 2 \sqrt{6}$ or $x = 2 \sqrt{6}$

you should then plug in the numbers and make sure they both work, which they do.