Y=-16x^2+50x+5

Solution for Y=-16x^2+50x+5 equation:

=-16Y^2+50Y+5

We move all terms to the left:

-(-16Y^2+50Y+5)=0

We get rid of parentheses

16Y^2-50Y-5=0

a = 16; b = -50; c = -5;
Δ = b2-4ac
Δ = -502-4·16·(-5)
Δ = 2820
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$Y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{2820}=\sqrt{4*705}=\sqrt{4}*\sqrt{705}=2\sqrt{705}$
$Y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-50)-2\sqrt{705}}{2*16}=\frac{50-2\sqrt{705}}{32}
$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-50)+2\sqrt{705}}{2*16}=\frac{50+2\sqrt{705}}{32}
$