3x^2-60x-5000=0

Solution for 3x^2-60x-5000=0 equation:

3x^2-60x-5000=0

a = 3; b = -60; c = -5000;
Δ = b2-4ac
Δ = -602-4·3·(-5000)
Δ = 63600
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:

$\sqrt{\Delta}=\sqrt{63600}=\sqrt{400*159}=\sqrt{400}*\sqrt{159}=20\sqrt{159}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-60)-20\sqrt{159}}{2*3}=\frac{60-20\sqrt{159}}{6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-60)+20\sqrt{159}}{2*3}=\frac{60+20\sqrt{159}}{6}
$