3x^2-60x-24000=0

Solution for 3x^2-60x-24000=0 equation:

3x^2-60x-24000=0

a = 3; b = -60; c = -24000;
Δ = b2-4ac
Δ = -602-4·3·(-24000)
Δ = 291600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{291600}=540$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-60)-540}{2*3}=\frac{-480}{6}
=-80
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-60)+540}{2*3}=\frac{600}{6}
=100
$