30x^2-131x-18=0

Solution for 30x^2-131x-18=0 equation:

30x^2-131x-18=0

a = 30; b = -131; c = -18;
Δ = b2-4ac
Δ = -1312-4·30·(-18)
Δ = 19321
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{19321}=139$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-131)-139}{2*30}=\frac{-8}{60}
=-2/15
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-131)+139}{2*30}=\frac{270}{60}
=4+1/2
$