80x^2-159268x-23892=0

Solution for 80x^2-159268x-23892=0 equation:

80x^2-159268x-23892=0

a = 80; b = -159268; c = -23892;
Δ = b2-4ac
Δ = -1592682-4·80·(-23892)
Δ = 25373941264
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{25373941264}=159292$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-159268)-159292}{2*80}=\frac{-24}{160}
=-3/20
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-159268)+159292}{2*80}=\frac{318560}{160}
=1991
$