x2+2x+2=56.6

Solution for x2+2x+2=56.6 equation:

x2+2x+2=56.6

We move all terms to the left:

x2+2x+2-(56.6)=0

We add all the numbers together, and all the variables

x^2+2x-54.6=0

a = 1; b = 2; c = -54.6;
Δ = b2-4ac
Δ = 22-4·1·(-54.6)
Δ = 222.4
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{222.4}}{2*1}=\frac{-2-\sqrt{222.4}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+\sqrt{222.4}}{2*1}=\frac{-2+\sqrt{222.4}}{2}
$