-13.5x2-51.1x+1606.31=0

Solution for -13.5x2-51.1x+1606.31=0 equation:

-13.5x^2-51.1x+1606.31=0

a = -13.5; b = -51.1; c = +1606.31;
Δ = b2-4ac
Δ = -51.12-4·(-13.5)·1606.31
Δ = 89351.95
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{-(-51.1)-\sqrt{89351.95}}{2*-13.5}=\frac{51.1-\sqrt{89351.95}}{-27}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-51.1)+\sqrt{89351.95}}{2*-13.5}=\frac{51.1+\sqrt{89351.95}}{-27}
$