X^2-35x-720=0

Solution for X^2-35x-720=0 equation:

X^2-35X-720=0

a = 1; b = -35; c = -720;
Δ = b2-4ac
Δ = -352-4·1·(-720)
Δ = 4105
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{-(-35)-\sqrt{4105}}{2*1}=\frac{35-\sqrt{4105}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-35)+\sqrt{4105}}{2*1}=\frac{35+\sqrt{4105}}{2}
$