60x^2-85x-35=0

Solution for 60x^2-85x-35=0 equation:

60x^2-85x-35=0

a = 60; b = -85; c = -35;
Δ = b2-4ac
Δ = -852-4·60·(-35)
Δ = 15625
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{15625}=125$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-85)-125}{2*60}=\frac{-40}{120}
=-1/3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-85)+125}{2*60}=\frac{210}{120}
=1+3/4
$