x^2+2x-30.93=0

Solution for x^2+2x-30.93=0 equation:

x^2+2x-30.93=0

a = 1; b = 2; c = -30.93;
Δ = b2-4ac
Δ = 22-4·1·(-30.93)
Δ = 127.72
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{-(2)-\sqrt{127.72}}{2*1}=\frac{-2-\sqrt{127.72}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+\sqrt{127.72}}{2*1}=\frac{-2+\sqrt{127.72}}{2}
$