How do you solve 3x^2-6=282?

Aug 7, 2016

$x = \pm 4 \sqrt{6}$

Explanation:

$3 {x}^{2} - 6 = 282$
or
$3 {x}^{2} = 282 + 6$
$3 {x}^{2} = 288$
or
${x}^{2} = \frac{288}{3}$
or
${x}^{2} = 96$
or
$x = \sqrt{96}$
or
$x = \pm 4 \sqrt{6}$

Aug 7, 2016

$x = \pm 4 \sqrt{6}$

Explanation:

Although this is a quadratic equation, there is no $x$ term, so we can use a different method of solving it without making everything equal to 0.

$3 {x}^{2} = 288$

${x}^{2} = 96$

$x = \pm \sqrt{96}$

$x = \pm \sqrt{2 \times 2 \times 2 \times 2 \times 2 \times 3}$

$x = \pm 4 \sqrt{6}$