2x^2-35x-750=0

Solution for 2x^2-35x-750=0 equation:

2x^2-35x-750=0

a = 2; b = -35; c = -750;
Δ = b2-4ac
Δ = -352-4·2·(-750)
Δ = 7225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{7225}=85$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-35)-85}{2*2}=\frac{-50}{4}
=-12+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-35)+85}{2*2}=\frac{120}{4}
=30
$