Question

Solve the quadratic equation using square root property.

$(m-6{)}^2=20$

Short answer

The solutions are $m=6\pm 2\sqrt{5}$

Step-by-step solution

Given Information.   

The Given equation is $(m-6{)}^2=20$.

Use square root property. 

$m-6=\pm \sqrt{20}$

Factor the radicand.

$m-6=\pm \sqrt{2·2·5}$

$m-6=\pm 2\sqrt{5}$

Solve for m.

$m=6\pm 2\sqrt{5}$

The solutions are$m=6\pm 2\sqrt{5}$.