[" Let "a,b,c,k" be rational numbers such that "k" is not a perfect cube."],[" If "a+bk^(1/3)+ck^(2/3)" then prove that "a=b=c=0]

Let a,b,c,k be rational numbers such that k is not perfect cube if a + b k^(1/3) + c k^(2/3) = 0 prove that a = b = c =0

Let a,b,c, k be rational numbers such that k is not perfect cube if a+bk^((3)/(2))+ck^((2)/(3))=0 prove that a=b=c=0

Let a,b,c be distinct complex numbers such that (a)/(1-b)=(b)/(1-c)=(c)/(1-a)=k. Find the value of k.

Let a, b, c, d be real numbers such that sum_(k=1)^(n) (ak^(3) + bk^(2) + ck + d) = n^(4) or every natural number n. Then | a | + | b | + | C | + | d | is equal to

Let a,b,c the distinct non-negative numbers. If the vectors ai + aj + ck, I + k and ci + cj + bk lie in a plane, then c is

Let a,b,c be real numbers with sum equals zero,let us denote (a^(k)+b^(k)+c^(k))/(k)=S_(k) then (S_(5)S_(2))/(S_(7)) is equal to :

Let a,b,c be distinct non-negative numbers.If the vectors ai+aj+ck,i+k and ci+cj+bk lie in a plane,then c is the

Let A(-3, 2) , B(4,1) and C(-2,k) be three points such that AC = BC . Find the value of k .