If 3 AMs, 3 GMs and 3HMs are inserted between numbers 1 and 5 then determine thecubic whose roots are first A.M. second G.M. and third H.M. between these number.

If 3 arithmetic means, 3 geometric means and 3 harmonic means are inserted between 1 and 5, then the cubic equation whose roots are first A.M., second G.M. and third H.M. between 1 and 5, is

If 3 arithmetic means, 3 geometric means and 3 harmonic means are inserted between 1 and 5, then the cubic equation whose roots are first A.M., second G.M. and third H.M. between 1 and 5, is

The A.M and H.M between two numbers are 27 and 12 respectively then G.M is

If A and G are the A.M. and G.M. respectively between two numbers then the numbers are

If the A.M. of two numbers exceeds their G.M. by 2 and their H.M. by 18/5. find the numbers.

Let A,G and H be the A.M,G.M and H.M two positive numbers a and b. The quadratic equation whose roots are A and H is