2x^2-116x-910=0

Solution for 2x^2-116x-910=0 equation:

2x^2-116x-910=0

a = 2; b = -116; c = -910;
Δ = b2-4ac
Δ = -1162-4·2·(-910)
Δ = 20736
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{20736}=144$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-116)-144}{2*2}=\frac{-28}{4}
=-7
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-116)+144}{2*2}=\frac{260}{4}
=65
$