-20x2+157x-222=0

Solution for -20x2+157x-222=0 equation:

-20x^2+157x-222=0

a = -20; b = 157; c = -222;
Δ = b2-4ac
Δ = 1572-4·(-20)·(-222)
Δ = 6889
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{6889}=83$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(157)-83}{2*-20}=\frac{-240}{-40}
=+6
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(157)+83}{2*-20}=\frac{-74}{-40}
=1+17/20
$