10x^2-60x-110=0

Solution for 10x^2-60x-110=0 equation:

10x^2-60x-110=0

a = 10; b = -60; c = -110;
Δ = b2-4ac
Δ = -602-4·10·(-110)
Δ = 8000
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:

$\sqrt{\Delta}=\sqrt{8000}=\sqrt{1600*5}=\sqrt{1600}*\sqrt{5}=40\sqrt{5}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-60)-40\sqrt{5}}{2*10}=\frac{60-40\sqrt{5}}{20}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-60)+40\sqrt{5}}{2*10}=\frac{60+40\sqrt{5}}{20}
$