72x^2-60x-50=0

Solution for 72x^2-60x-50=0 equation:

72x^2-60x-50=0

a = 72; b = -60; c = -50;
Δ = b2-4ac
Δ = -602-4·72·(-50)
Δ = 18000
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:

$\sqrt{\Delta}=\sqrt{18000}=\sqrt{3600*5}=\sqrt{3600}*\sqrt{5}=60\sqrt{5}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-60)-60\sqrt{5}}{2*72}=\frac{60-60\sqrt{5}}{144}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-60)+60\sqrt{5}}{2*72}=\frac{60+60\sqrt{5}}{144}
$