x^2+0.2x-0.05=0

Solution for x^2+0.2x-0.05=0 equation:

x^2+0.2x-0.05=0

a = 1; b = 0.2; c = -0.05;
Δ = b2-4ac
Δ = 0.22-4·1·(-0.05)
Δ = 0.24
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{-(0.2)-\sqrt{0.24}}{2*1}=\frac{-0.2-\sqrt{0.24}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0.2)+\sqrt{0.24}}{2*1}=\frac{-0.2+\sqrt{0.24}}{2}
$