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1/2f+2=1/6f
We move all terms to the left:
1/2f+2-(1/6f)=0
Domain of the equation: 2f!=0
f!=0/2
f!=0
f∈R
Domain of the equation: 6f)!=0We add all the numbers together, and all the variables
f!=0/1
f!=0
f∈R
1/2f-(+1/6f)+2=0
We get rid of parentheses
1/2f-1/6f+2=0
We calculate fractions
6f/12f^2+(-2f)/12f^2+2=0
We multiply all the terms by the denominator
6f+(-2f)+2*12f^2=0
Wy multiply elements
24f^2+6f+(-2f)=0
We get rid of parentheses
24f^2+6f-2f=0
We add all the numbers together, and all the variables
24f^2+4f=0
a = 24; b = 4; c = 0;
Δ = b2-4ac
Δ = 42-4·24·0
Δ = 16
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{16}=4$$f_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(4)-4}{2*24}=\frac{-8}{48} =-1/6 $$f_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(4)+4}{2*24}=\frac{0}{48} =0 $
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