X^2-35.355x-15000=0

Solution for X^2-35.355x-15000=0 equation:

X^2-35.355X-15000=0

a = 1; b = -35.355; c = -15000;
Δ = b2-4ac
Δ = -35.3552-4·1·(-15000)
Δ = 61249.976025
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{-(-35.355)-\sqrt{61249.976025}}{2*1}=\frac{35.355-\sqrt{61249.976025}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-35.355)+\sqrt{61249.976025}}{2*1}=\frac{35.355+\sqrt{61249.976025}}{2}
$