18x^2-57x-60=0

Solution for 18x^2-57x-60=0 equation:

18x^2-57x-60=0

a = 18; b = -57; c = -60;
Δ = b2-4ac
Δ = -572-4·18·(-60)
Δ = 7569
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{7569}=87$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-57)-87}{2*18}=\frac{-30}{36}
=-5/6
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-57)+87}{2*18}=\frac{144}{36}
=4
$