x^2-23x-750=0

Solution for x^2-23x-750=0 equation:

x^2-23x-750=0

a = 1; b = -23; c = -750;
Δ = b2-4ac
Δ = -232-4·1·(-750)
Δ = 3529
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-23)-\sqrt{3529}}{2*1}=\frac{23-\sqrt{3529}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-23)+\sqrt{3529}}{2*1}=\frac{23+\sqrt{3529}}{2}
$