Y=-16x^2+1.34x+32.09

Solution for Y=-16x^2+1.34x+32.09 equation:

=-16Y^2+1.34Y+32.09

We move all terms to the left:

-(-16Y^2+1.34Y+32.09)=0

We get rid of parentheses

16Y^2-1.34Y-32.09=0

a = 16; b = -1.34; c = -32.09;
Δ = b2-4ac
Δ = -1.342-4·16·(-32.09)
Δ = 2055.5556
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$Y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$Y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1.34)-\sqrt{2055.5556}}{2*16}=\frac{1.34-\sqrt{2055.5556}}{32}
$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1.34)+\sqrt{2055.5556}}{2*16}=\frac{1.34+\sqrt{2055.5556}}{32}
$