X^2-4x-15000=0

Solution for X^2-4x-15000=0 equation:

X^2-4X-15000=0

a = 1; b = -4; c = -15000;
Δ = b2-4ac
Δ = -42-4·1·(-15000)
Δ = 60016
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:

$\sqrt{\Delta}=\sqrt{60016}=\sqrt{1936*31}=\sqrt{1936}*\sqrt{31}=44\sqrt{31}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-4)-44\sqrt{31}}{2*1}=\frac{4-44\sqrt{31}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-4)+44\sqrt{31}}{2*1}=\frac{4+44\sqrt{31}}{2}
$