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(F)=5F^2-4
We move all terms to the left:
(F)-(5F^2-4)=0
We get rid of parentheses
-5F^2+F+4=0
a = -5; b = 1; c = +4;
Δ = b2-4ac
Δ = 12-4·(-5)·4
Δ = 81
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{81}=9$$F_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-9}{2*-5}=\frac{-10}{-10} =1 $$F_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+9}{2*-5}=\frac{8}{-10} =-4/5 $
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