2(x^2)+27x-9.1=0

Solution for 2(x^2)+27x-9.1=0 equation:

2(x^2)+27x-9.1=0

a = 2; b = 27; c = -9.1;
Δ = b2-4ac
Δ = 272-4·2·(-9.1)
Δ = 801.8
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{-(27)-\sqrt{801.8}}{2*2}=\frac{-27-\sqrt{801.8}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(27)+\sqrt{801.8}}{2*2}=\frac{-27+\sqrt{801.8}}{4}
$