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(F)=F2+2F-24
We move all terms to the left:
(F)-(F2+2F-24)=0
We add all the numbers together, and all the variables
-(+F^2+2F-24)+F=0
We get rid of parentheses
-F^2-2F+F+24=0
We add all the numbers together, and all the variables
-1F^2-1F+24=0
a = -1; b = -1; c = +24;
Δ = b2-4ac
Δ = -12-4·(-1)·24
Δ = 97
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{-(-1)-\sqrt{97}}{2*-1}=\frac{1-\sqrt{97}}{-2} $$F_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+\sqrt{97}}{2*-1}=\frac{1+\sqrt{97}}{-2} $
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