20x^2-31x-7=0

Solution for 20x^2-31x-7=0 equation:

20x^2-31x-7=0

a = 20; b = -31; c = -7;
Δ = b2-4ac
Δ = -312-4·20·(-7)
Δ = 1521
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1521}=39$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-31)-39}{2*20}=\frac{-8}{40}
=-1/5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-31)+39}{2*20}=\frac{70}{40}
=1+3/4
$