x^2+0.842x-0.0876=0

Solution for x^2+0.842x-0.0876=0 equation:

x^2+0.842x-0.0876=0

a = 1; b = 0.842; c = -0.0876;
Δ = b2-4ac
Δ = 0.8422-4·1·(-0.0876)
Δ = 1.059364
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{-(0.842)-\sqrt{1.059364}}{2*1}=\frac{-0.842-\sqrt{1.059364}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0.842)+\sqrt{1.059364}}{2*1}=\frac{-0.842+\sqrt{1.059364}}{2}
$