s(s-4)=525

Solution for s(s-4)=525 equation:

s(s-4)=525

We move all terms to the left:

s(s-4)-(525)=0

We multiply parentheses

s^2-4s-525=0

a = 1; b = -4; c = -525;
Δ = b2-4ac
Δ = -42-4·1·(-525)
Δ = 2116
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2116}=46$
$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-4)-46}{2*1}=\frac{-42}{2}
=-21
$
$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-4)+46}{2*1}=\frac{50}{2}
=25
$