2x^2+44x+20=0

Solution for 2x^2+44x+20=0 equation:

2x^2+44x+20=0

a = 2; b = 44; c = +20;
Δ = b2-4ac
Δ = 442-4·2·20
Δ = 1776
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{1776}=\sqrt{16*111}=\sqrt{16}*\sqrt{111}=4\sqrt{111}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(44)-4\sqrt{111}}{2*2}=\frac{-44-4\sqrt{111}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(44)+4\sqrt{111}}{2*2}=\frac{-44+4\sqrt{111}}{4}
$