x^2+0.37x-2.86=0

Solution for x^2+0.37x-2.86=0 equation:

x^2+0.37x-2.86=0

a = 1; b = 0.37; c = -2.86;
Δ = b2-4ac
Δ = 0.372-4·1·(-2.86)
Δ = 11.5769
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{-(0.37)-\sqrt{11.5769}}{2*1}=\frac{-0.37-\sqrt{11.5769}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0.37)+\sqrt{11.5769}}{2*1}=\frac{-0.37+\sqrt{11.5769}}{2}
$