x^2-6x-117.5625=0

Solution for x^2-6x-117.5625=0 equation:

x^2-6x-117.5625=0

a = 1; b = -6; c = -117.5625;
Δ = b2-4ac
Δ = -62-4·1·(-117.5625)
Δ = 506.25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-6)-\sqrt{506.25}}{2*1}=\frac{6-\sqrt{506.25}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-6)+\sqrt{506.25}}{2*1}=\frac{6+\sqrt{506.25}}{2}
$