x(x-36)=1525

Solution for x(x-36)=1525 equation:

x(x-36)=1525

We move all terms to the left:

x(x-36)-(1525)=0

We multiply parentheses

x^2-36x-1525=0

a = 1; b = -36; c = -1525;
Δ = b2-4ac
Δ = -362-4·1·(-1525)
Δ = 7396
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{7396}=86$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-36)-86}{2*1}=\frac{-50}{2}
=-25
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-36)+86}{2*1}=\frac{122}{2}
=61
$