F(x)=-1x2+6x+315

Solution for F(x)=-1x2+6x+315 equation:

(F)=-1F^2+6F+315

We move all terms to the left:

(F)-(-1F^2+6F+315)=0

We get rid of parentheses

1F^2-6F+F-315=0

We add all the numbers together, and all the variables

F^2-5F-315=0

a = 1; b = -5; c = -315;
Δ = b2-4ac
Δ = -52-4·1·(-315)
Δ = 1285
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{-(-5)-\sqrt{1285}}{2*1}=\frac{5-\sqrt{1285}}{2}
$
$F_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-5)+\sqrt{1285}}{2*1}=\frac{5+\sqrt{1285}}{2}
$