-2x^2+26x+44=0

Solution for -2x^2+26x+44=0 equation:

-2x^2+26x+44=0

a = -2; b = 26; c = +44;
Δ = b2-4ac
Δ = 262-4·(-2)·44
Δ = 1028
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:

$\sqrt{\Delta}=\sqrt{1028}=\sqrt{4*257}=\sqrt{4}*\sqrt{257}=2\sqrt{257}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(26)-2\sqrt{257}}{2*-2}=\frac{-26-2\sqrt{257}}{-4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(26)+2\sqrt{257}}{2*-2}=\frac{-26+2\sqrt{257}}{-4}
$