f=3.141592653589793238462/f

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}
$