2x^2-44x+130=0

Solution for 2x^2-44x+130=0 equation:

2x^2-44x+130=0

a = 2; b = -44; c = +130;
Δ = b2-4ac
Δ = -442-4·2·130
Δ = 896
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:

$\sqrt{\Delta}=\sqrt{896}=\sqrt{64*14}=\sqrt{64}*\sqrt{14}=8\sqrt{14}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-44)-8\sqrt{14}}{2*2}=\frac{44-8\sqrt{14}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-44)+8\sqrt{14}}{2*2}=\frac{44+8\sqrt{14}}{4}
$