50-8c^2=0

Solution for 50-8c^2=0 equation:

50-8c^2=0

a = -8; b = 0; c = +50;
Δ = b2-4ac
Δ = 02-4·(-8)·50
Δ = 1600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1600}=40$
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-40}{2*-8}=\frac{-40}{-16}
=2+1/2
$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+40}{2*-8}=\frac{40}{-16}
=-2+1/2
$