2x^2-10x-375=0

Solution for 2x^2-10x-375=0 equation:

2x^2-10x-375=0

a = 2; b = -10; c = -375;
Δ = b2-4ac
Δ = -102-4·2·(-375)
Δ = 3100
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:

$\sqrt{\Delta}=\sqrt{3100}=\sqrt{100*31}=\sqrt{100}*\sqrt{31}=10\sqrt{31}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-10)-10\sqrt{31}}{2*2}=\frac{10-10\sqrt{31}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-10)+10\sqrt{31}}{2*2}=\frac{10+10\sqrt{31}}{4}
$