2x^2+31x-7.9=0

Solution for 2x^2+31x-7.9=0 equation:

2x^2+31x-7.9=0

a = 2; b = 31; c = -7.9;
Δ = b2-4ac
Δ = 312-4·2·(-7.9)
Δ = 1024.2
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(31)-\sqrt{1024.2}}{2*2}=\frac{-31-\sqrt{1024.2}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(31)+\sqrt{1024.2}}{2*2}=\frac{-31+\sqrt{1024.2}}{4}
$