-1.654x^2+37.611x-161.828=0

Solution for -1.654x^2+37.611x-161.828=0 equation:

-1.654x^2+37.611x-161.828=0

a = -1.654; b = 37.611; c = -161.828;
Δ = b2-4ac
Δ = 37.6112-4·(-1.654)·(-161.828)
Δ = 343.933273
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{-(37.611)-\sqrt{343.933273}}{2*-1.654}=\frac{-37.611-\sqrt{343.933273}}{-3.308}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(37.611)+\sqrt{343.933273}}{2*-1.654}=\frac{-37.611+\sqrt{343.933273}}{-3.308}
$