60x^2-326x-22=0

Solution for 60x^2-326x-22=0 equation:

60x^2-326x-22=0

a = 60; b = -326; c = -22;
Δ = b2-4ac
Δ = -3262-4·60·(-22)
Δ = 111556
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{111556}=334$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-326)-334}{2*60}=\frac{-8}{120}
=-1/15
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-326)+334}{2*60}=\frac{660}{120}
=5+1/2
$