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Question

Mathematics Question on Arithmetic Mean

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

A

x3-3Ax2+G3(3x-1)=0

B

x3-3Ax2+3(G3/H)x-G3=0

C

x3+3Ax2+3(G3/H)x-G3=0

D

x3-3Ax2-3(G3/H)x-G3=0

Answer

x3-3Ax2+3(G3/H)x-G3=0

Explanation

Solution

The correct answer is(B): x3-3Ax2+3(G3/H)x-G3=0