How do you solve 6x^2=1296?

Mar 20, 2018

See a solution process below:

Explanation:

First, divide each side of the equation by $\textcolor{red}{6}$ to isolate the $x$ term while keeping the equation balanced:

$\frac{6 {x}^{2}}{\textcolor{red}{6}} = \frac{1296}{\textcolor{red}{6}}$

$\frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{6}}} {x}^{2}}{\cancel{\textcolor{red}{6}}} = 216$

${x}^{2} = 216$

Now, take the square root of each side of the equation to to solve for $x$ while keeping the equation balanced. Remember, the square root of a number produces both a positive and negative result:

$\sqrt{{x}^{2}} = \pm \sqrt{216}$

$x = \pm \sqrt{36 \cdot 6}$

$x = \pm \sqrt{36} \sqrt{6}$

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

The Solution Set is: $x = \left\{- 6 \sqrt{6} , 6 \sqrt{6}\right\}$