f=3.141592653589793238462/f

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Solution for f=3.141592653589793238462/f equation:



f=3.141592653589793238462/f
We move all terms to the left:
f-(3.141592653589793238462/f)=0
Domain of the equation: f)!=0
f!=0/1
f!=0
f∈R
We add all the numbers together, and all the variables
f-(+3.141592653589793238462/f)=0
We get rid of parentheses
f-3.141592653589793238462/f=0
We multiply all the terms by the denominator
f*f-3.141592653589793238462=0
We add all the numbers together, and all the variables
f*f-3.1415926535898=0
Wy multiply elements
f^2-3.1415926535898=0
a = 1; b = 0; c = -3.1415926535898;
Δ = b2-4ac
Δ = 02-4·1·(-3.1415926535898)
Δ = 12.566370614359
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{-(0)-\sqrt{12.566370614359}}{2*1}=\frac{0-\sqrt{12.566370614359}}{2} =-\frac{\sqrt{}}{2} $
$f_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{12.566370614359}}{2*1}=\frac{0+\sqrt{12.566370614359}}{2} =\frac{\sqrt{}}{2} $

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