x^2-24x=10672

Solution for x^2-24x=10672 equation:

x^2-24x=10672

We move all terms to the left:

x^2-24x-(10672)=0

a = 1; b = -24; c = -10672;
Δ = b2-4ac
Δ = -242-4·1·(-10672)
Δ = 43264
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{43264}=208$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-24)-208}{2*1}=\frac{-184}{2}
=-92
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-24)+208}{2*1}=\frac{232}{2}
=116
$