if `x^4+1/x^4=2` then show that x=1

If x=1/sqrt2(1+i) then show that x^6+x^4+x^2+1=0

f(x)=(2x+3)/(3x+2), then show that f(x)*f((1)/(x))=1. if f(x)=4, then show that f(x+1)-f(x)=f(x)

If x-(1)/(x)=2i sin theta, show that x^(4)-(1)/(x^(4))=2i sin4 theta

If f(x)=(4^(x))/(4^(x)+2) , then show that f(x)+f(1-x)=1

if x-(1)/(x)=2, then the value of x^(4)+(1)/(x^(4)) is

If x-1/x=2, then the value of x^4+1/x^4 is :

If x-1/x=2 then x^4-1/x^4=

If x - (1)/(2x) = 2 , then find the value of (4x^(4) + 1)/(4x^(2))

If sin ^ (- 1) x + sin ^ (- 1) y + sin ^ (- 1) z = pi show that, x ^ (4) + y ^ (4) + z ^ (4) + 4x ^ ( 2) y ^ (2) z ^ (2) = 2 (x ^ (2) y ^ (2) + y ^ (2) z ^ (2) + z ^ (2) x ^ (2))