4x^2-4000x-60000=0

Solution for 4x^2-4000x-60000=0 equation:

4x^2-4000x-60000=0

a = 4; b = -4000; c = -60000;
Δ = b2-4ac
Δ = -40002-4·4·(-60000)
Δ = 16960000
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:

$\sqrt{\Delta}=\sqrt{16960000}=\sqrt{160000*106}=\sqrt{160000}*\sqrt{106}=400\sqrt{106}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-4000)-400\sqrt{106}}{2*4}=\frac{4000-400\sqrt{106}}{8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-4000)+400\sqrt{106}}{2*4}=\frac{4000+400\sqrt{106}}{8}
$