3X^2-60x-80=0

Solution for 3X^2-60x-80=0 equation:

3X^2-60X-80=0

a = 3; b = -60; c = -80;
Δ = b2-4ac
Δ = -602-4·3·(-80)
Δ = 4560
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:

$\sqrt{\Delta}=\sqrt{4560}=\sqrt{16*285}=\sqrt{16}*\sqrt{285}=4\sqrt{285}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-60)-4\sqrt{285}}{2*3}=\frac{60-4\sqrt{285}}{6}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-60)+4\sqrt{285}}{2*3}=\frac{60+4\sqrt{285}}{6}
$