SOLUTION: If x/(x²+1) = 2, then what is x²/(x⁴+1)

Algebra.Com
Question 1206758: If x/(x²+1) = 2, then what is x²/(x⁴+1)
Answer by ikleyn(52756)   (Show Source): You can put this solution on YOUR website!
.
If x/(x²+1) = 2, then what is x²/(x⁴+1)
~~~~~~~~~~~~~~~~~~~~~

If   = 2, 


then   = ;


then   =   (by squaring the preceding equality);


then   + 2 = .


It implies

     =  = .


Hence,   = .    ANSWER

Solved.

By the way, it means that x in the given/original equality is a complex number (not a real).



RELATED QUESTIONS

if x+1/x= 2 then what is the value of... (answered by tommyt3rd)
If x + 1/x = 3, then what is x^2 +... (answered by ikleyn)
if (x*x)+1=3x then what is the value of... (answered by checkley77)
if log8 x=1, then x= what is x (answered by Boreal)
If 1/2 + 1/4= x/15, then x... (answered by fractalier)
If -1<=x<=1 then what is the maximum possible value of x^3-x^2-x=1?... (answered by Fombitz)
If x^(2)+1/x^(2)=4, then what does x^(3)+1/x^(3)... (answered by RAY100)
If 2(x -1) = 14, then x... (answered by Fombitz)
If 2(x -1) = 14, then x... (answered by Maths68,Alan3354)
If 2(x -1) = 14, then x... (answered by MathLover1)