Let a ,b ,c ,d be four distinct real nu...

Let `a ,b ,c ,d` be four distinct real numbers in A.P. Then half of the smallest positive valueof `k` satisfying `2(a-b)+k(b-c)^2+(c-a)^3=2(a-d)+(b-d)^2+(c-d)^3` is __________.

Similar Questions

Explore conceptually related problems

If a , b ,c are three distinct positive real numbers in G.P., then prove that c^2+2a b >3a cdot

Let a,b,c,d be real numbers such that |a-b|=2, |b-c|=3, |c-d|=4 Then the sum of all possible values of |a-d|=

If a,b,c and d are four unequal positive numbers which are in A.P then

If a,b and c are distinct positive real numbers in A.P, then the roots of the equation ax^(2)+2bx+c=0 are

If a ,b ,c ,d ,e are in A.P., the find the value of a-4b+6c-4d+edot

If a, b, c, d are distinct integers in A. P. Such that d=a^2+b^2+c^2 , then a + b + c + d is

If a , b , c are real numbers forming an A.P. and 3+a , 2+b , 3+c are in G.P. , then minimum value of ac is

If a,b,c are in H.P , b,c,d are in G.P and c,d,e are in A.P. , then the value of e is

If a,b,c,d are in geometric sequence then prove that (b-c)^(2) +(c-a)^(2) -(d-b)^(2)=(a-d)^2

If a,b,c,d are positive real number with a + b + c + d=2 ,then M =(a+b)(c+d) satisfies the inequality