Question

Solve quadratic equation using the square root property:$n^2-80=0$

Short answer

The required result is$n=4\sqrt{5}or-4\sqrt{5}$.

Step-by-step solution

Given information 

The given expression is$n^2-80=0$.$n^2-80=0$

Simplifying the equation

Add 80 on both sides of the equation:

$n^2-80+80=0+80$

$n^2=80$

Square Root Property 

If $x^2=kandk\ge 0$then, $x=\sqrt{k}or-\sqrt{k}$

$80\ge 0$

$n=\sqrt{80}or-\sqrt{80}$

$n=4\sqrt{5}or-4\sqrt{5}$