Progression (Sequence and Series)Hard

Question

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

Options

A.x3 − 3Ax2 + 3G3 x + G3 = 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

Solution

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