x^2-24x=5481

Solution for x^2-24x=5481 equation:

x^2-24x=5481

We move all terms to the left:

x^2-24x-(5481)=0

a = 1; b = -24; c = -5481;
Δ = b2-4ac
Δ = -242-4·1·(-5481)
Δ = 22500
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{22500}=150$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-24)-150}{2*1}=\frac{-126}{2}
=-63
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-24)+150}{2*1}=\frac{174}{2}
=87
$