-22x2+374x-1540=0

Solution for -22x2+374x-1540=0 equation:

-22x^2+374x-1540=0

a = -22; b = 374; c = -1540;
Δ = b2-4ac
Δ = 3742-4·(-22)·(-1540)
Δ = 4356
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4356}=66$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(374)-66}{2*-22}=\frac{-440}{-44}
=+10
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(374)+66}{2*-22}=\frac{-308}{-44}
=+7
$