-2.7x^2-3.7x+119=0

Solution for -2.7x^2-3.7x+119=0 equation:

-2.7x^2-3.7x+119=0

a = -2.7; b = -3.7; c = +119;
Δ = b2-4ac
Δ = -3.72-4·(-2.7)·119
Δ = 1298.89
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{-(-3.7)-\sqrt{1298.89}}{2*-2.7}=\frac{3.7-\sqrt{1298.89}}{-5.4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3.7)+\sqrt{1298.89}}{2*-2.7}=\frac{3.7+\sqrt{1298.89}}{-5.4}
$