(s2-4)2-81=0

Solution for (s2-4)2-81=0 equation:

(s2-4)2-81=0

We add all the numbers together, and all the variables

(+s^2-4)2-81=0

We multiply parentheses

2s^2-8-81=0

We add all the numbers together, and all the variables

2s^2-89=0

a = 2; b = 0; c = -89;
Δ = b2-4ac
Δ = 02-4·2·(-89)
Δ = 712
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{712}=\sqrt{4*178}=\sqrt{4}*\sqrt{178}=2\sqrt{178}$
$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{178}}{2*2}=\frac{0-2\sqrt{178}}{4}
=-\frac{2\sqrt{178}}{4}
=-\frac{\sqrt{178}}{2}
$
$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{178}}{2*2}=\frac{0+2\sqrt{178}}{4}
=\frac{2\sqrt{178}}{4}
=\frac{\sqrt{178}}{2}
$