If n is a natural number `gt 2`, such that `z^(n) = (z+1)^(n)`, then

If n gt 1 and if z ^(n) = (z +1) ^(n) then :

2^n gt n , n is a natural number.

If n is a positive integer greater than unity z is a complex number satisfying the equation z^(n)=(z+1)^(n), then

If n is a positive integer greater than unity z is a complex number satisfying the equation z^n=(z+1)^n, then

If z is a complex number satisfying z + z^-1 = 1 then z^n + z^-n , n in N , has the value

If z is a complex number satisfying z+z^(-1)=1 then z^(n)+z^(-n),n in N, has the value

If z=x+iy is a complex number with x, y in Q and |z| = 1 , then show that |z^(2n)-1| is a rational numberfor every n in N .

If z=x+iy is a complex number with x, y in Q and |z| = 1 , then show that |z^(2n)-1| is a rational numberfor every n in N .