same question || A.M,G.M,H.M & miscellaneous series

Miscellaneous Progression | A-M, G-M, H-M Insertion

Miscellaneous Progression | A-M, G-M, H-M Insertion

If A, G, H are respectively the A.M., G.M., H.M. of three numhers alpha, beta, gamma , then the cquation whose roots are alpha, beta, gamma is

If A, G & H are respectively the A.M., G.M. & H.M. of three positive numbers a, b, & c, then equation whose roots are a, b, & c is given by

If A, G & H are respectively te A.M., G.M. & H.M. of three positive numbers a, b, & c then the equation whose roots are a, b & c is given by

H.P and relation || Question on A.M,G.M & H.M.

To prove that A.M>=G.M>=H.M

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