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(F)=F2-7
We move all terms to the left:
(F)-(F2-7)=0
We add all the numbers together, and all the variables
-(+F^2-7)+F=0
We get rid of parentheses
-F^2+F+7=0
We add all the numbers together, and all the variables
-1F^2+F+7=0
a = -1; b = 1; c = +7;
Δ = b2-4ac
Δ = 12-4·(-1)·7
Δ = 29
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{29}}{2*-1}=\frac{-1-\sqrt{29}}{-2} $$F_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{29}}{2*-1}=\frac{-1+\sqrt{29}}{-2} $
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