x^2-115x-3150=0

Solution for x^2-115x-3150=0 equation:

x^2-115x-3150=0

a = 1; b = -115; c = -3150;
Δ = b2-4ac
Δ = -1152-4·1·(-3150)
Δ = 25825
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:

$\sqrt{\Delta}=\sqrt{25825}=\sqrt{25*1033}=\sqrt{25}*\sqrt{1033}=5\sqrt{1033}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-115)-5\sqrt{1033}}{2*1}=\frac{115-5\sqrt{1033}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-115)+5\sqrt{1033}}{2*1}=\frac{115+5\sqrt{1033}}{2}
$