Y=-16x^2+119x+73

Solution for Y=-16x^2+119x+73 equation:

=-16Y^2+119Y+73

We move all terms to the left:

-(-16Y^2+119Y+73)=0

We get rid of parentheses

16Y^2-119Y-73=0

a = 16; b = -119; c = -73;
Δ = b2-4ac
Δ = -1192-4·16·(-73)
Δ = 18833
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{-(-119)-\sqrt{18833}}{2*16}=\frac{119-\sqrt{18833}}{32}
$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-119)+\sqrt{18833}}{2*16}=\frac{119+\sqrt{18833}}{32}
$