F(x)=x2+1/4

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Solution for F(x)=x2+1/4 equation:



(F)=F2+1/4
We move all terms to the left:
(F)-(F2+1/4)=0
We add all the numbers together, and all the variables
-(+F^2+1/4)+F=0
We get rid of parentheses
-F^2+F-1/4=0
We multiply all the terms by the denominator
-F^2*4+F*4-1=0
Wy multiply elements
-4F^2+4F-1=0
a = -4; b = 4; c = -1;
Δ = b2-4ac
Δ = 42-4·(-4)·(-1)
Δ = 0
Delta is equal to zero, so there is only one solution to the equation
Stosujemy wzór:
$F=\frac{-b}{2a}=\frac{-4}{-8}=1/2$

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