x^2-2x=624

Solution for x^2-2x=624 equation:

x^2-2x=624

We move all terms to the left:

x^2-2x-(624)=0

a = 1; b = -2; c = -624;
Δ = b2-4ac
Δ = -22-4·1·(-624)
Δ = 2500
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2500}=50$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-2)-50}{2*1}=\frac{-48}{2}
=-24
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2)+50}{2*1}=\frac{52}{2}
=26
$