2x^2-24x-720=0

Solution for 2x^2-24x-720=0 equation:

2x^2-24x-720=0

a = 2; b = -24; c = -720;
Δ = b2-4ac
Δ = -242-4·2·(-720)
Δ = 6336
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{6336}=\sqrt{576*11}=\sqrt{576}*\sqrt{11}=24\sqrt{11}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-24)-24\sqrt{11}}{2*2}=\frac{24-24\sqrt{11}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-24)+24\sqrt{11}}{2*2}=\frac{24+24\sqrt{11}}{4}
$