x^2+2.82842712475x+2=0

Solution for x^2+2.82842712475x+2=0 equation:

x^2+2.82842712475x+2=0

a = 1; b = 2.82842712475; c = +2;
Δ = b2-4ac
Δ = 2.828427124752-4·1·2
Δ = 2.15525375324E-11
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{-(2.82842712475)-\sqrt{2.15525375324E-11}}{2*1}=\frac{-2.82842712475-\sqrt{2.15525375324E-11}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2.82842712475)+\sqrt{2.15525375324E-11}}{2*1}=\frac{-2.82842712475+\sqrt{2.15525375324E-11}}{2}
$