F(x)=60x-16x^2

Solution for F(x)=60x-16x^2 equation:

(F)=60F-16F^2

We move all terms to the left:

(F)-(60F-16F^2)=0

We get rid of parentheses

16F^2-60F+F=0

We add all the numbers together, and all the variables

16F^2-59F=0

a = 16; b = -59; c = 0;
Δ = b2-4ac
Δ = -592-4·16·0
Δ = 3481
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$F_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$F_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3481}=59$
$F_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-59)-59}{2*16}=\frac{0}{32}
=0
$
$F_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-59)+59}{2*16}=\frac{118}{32}
=3+11/16
$