60x^2-37x-6=0

Solution for 60x^2-37x-6=0 equation:

60x^2-37x-6=0

a = 60; b = -37; c = -6;
Δ = b2-4ac
Δ = -372-4·60·(-6)
Δ = 2809
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2809}=53$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-37)-53}{2*60}=\frac{-16}{120}
=-2/15
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-37)+53}{2*60}=\frac{90}{120}
=3/4
$