Question

how do you solve quadratic using square roots?ex: m²=81

Answer 1

we have

m²=81​

Apply square roots both sides

$\begin{gathered} \sqrt[]{m^2}=\pm\sqrt[]{81} \\ (m^2)^{(\frac{1}{2})}=\pm(9^2)^{(\frac{1}{2})} \end{gathered}$

simplify

m=(+/-)9

are two solutions

because

(-9)^2=81

and

(9)^2=81