Y=-16t^2+70t

Solution for Y=-16t^2+70t equation:

=-16Y^2+70Y

We move all terms to the left:

-(-16Y^2+70Y)=0

We get rid of parentheses

16Y^2-70Y=0

a = 16; b = -70; c = 0;
Δ = b2-4ac
Δ = -702-4·16·0
Δ = 4900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$Y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4900}=70$
$Y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-70)-70}{2*16}=\frac{0}{32}
=0
$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-70)+70}{2*16}=\frac{140}{32}
=4+3/8
$