4c^2-28c+44=0

Solution for 4c^2-28c+44=0 equation:

4c^2-28c+44=0

a = 4; b = -28; c = +44;
Δ = b2-4ac
Δ = -282-4·4·44
Δ = 80
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{80}=\sqrt{16*5}=\sqrt{16}*\sqrt{5}=4\sqrt{5}$
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-28)-4\sqrt{5}}{2*4}=\frac{28-4\sqrt{5}}{8}
$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-28)+4\sqrt{5}}{2*4}=\frac{28+4\sqrt{5}}{8}
$