20x2-137x+222=0

Solution for 20x2-137x+222=0 equation:

20x^2-137x+222=0

a = 20; b = -137; c = +222;
Δ = b2-4ac
Δ = -1372-4·20·222
Δ = 1009
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{-(-137)-\sqrt{1009}}{2*20}=\frac{137-\sqrt{1009}}{40}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-137)+\sqrt{1009}}{2*20}=\frac{137+\sqrt{1009}}{40}
$