-5x^2-11x+1818=0

Solution for -5x^2-11x+1818=0 equation:

-5x^2-11x+1818=0

a = -5; b = -11; c = +1818;
Δ = b2-4ac
Δ = -112-4·(-5)·1818
Δ = 36481
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{36481}=191$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-11)-191}{2*-5}=\frac{-180}{-10}
=+18
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-11)+191}{2*-5}=\frac{202}{-10}
=-20+1/5
$