F(x)=8x2-88x+240

Solution for F(x)=8x2-88x+240 equation:

(F)=8F^2-88F+240

We move all terms to the left:

(F)-(8F^2-88F+240)=0

We get rid of parentheses

-8F^2+F+88F-240=0

We add all the numbers together, and all the variables

-8F^2+89F-240=0

a = -8; b = 89; c = -240;
Δ = b2-4ac
Δ = 892-4·(-8)·(-240)
Δ = 241
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$F_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$F_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$F_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(89)-\sqrt{241}}{2*-8}=\frac{-89-\sqrt{241}}{-16}
$
$F_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(89)+\sqrt{241}}{2*-8}=\frac{-89+\sqrt{241}}{-16}
$