Question

Solve each equation by taking square roots 2n^2 -8=-33

Answer 1

$2n^2 -8=-33$ 

$2n^2=-33+8$    $Add \ 8 \ to \ both \ sides$ 

$2n^2=-25$ 

$n^2=- \dfrac{25}{2}$   $Divide \ both \ sides \ by \ 2$ 

$n=+ \sqrt{ -\dfrac{25}{2} }$   $Take \ the \ square \ root \ of \ both \ sides$  

$n=+ \sqrt{ \dfrac{5i}{ \sqrt{2}}}$