x+x^2-0.29922=0

Solution for x+x^2-0.29922=0 equation:

x+x^2-0.29922=0

a = 1; b = 1; c = -0.29922;
Δ = b2-4ac
Δ = 12-4·1·(-0.29922)
Δ = 2.19688
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{-(1)-\sqrt{2.19688}}{2*1}=\frac{-1-\sqrt{2.19688}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{2.19688}}{2*1}=\frac{-1+\sqrt{2.19688}}{2}
$