How do you solve the equation 1/2x^2-8=16?

Mar 19, 2017

$\text{answer is } x = \pm 4 \sqrt{3}$

Explanation:

$\frac{1}{2} {x}^{2} - 8 = 16$

$\frac{1}{2} {x}^{2} = 16 + 8$

$\frac{1}{2} {x}^{2} = 24$

${x}^{2} = 2 \cdot 24$

${x}^{2} = 48$

${x}^{2} = 16 \cdot 3$

$\sqrt{{x}^{2}} = \sqrt{16 \cdot 3}$

$x = \pm 4 \sqrt{3}$