Y=-16x^2+1600

Solution for Y=-16x^2+1600 equation:

=-16Y^2+1600

We move all terms to the left:

-(-16Y^2+1600)=0

We get rid of parentheses

16Y^2-1600=0

a = 16; b = 0; c = -1600;
Δ = b2-4ac
Δ = 02-4·16·(-1600)
Δ = 102400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$Y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{102400}=320$
$Y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-320}{2*16}=\frac{-320}{32}
=-10
$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+320}{2*16}=\frac{320}{32}
=10
$