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The sum of the squares of three distinct real no.s which are in G.P. is S^2. If their sum is alphaS , show that alpha^2 belongs to open interval from 1/3 to 1 union open interval from 1 to 3.
a + b +c = kShere k is alpha.and a^2 + b^2 + c^2 = S^2and also,b^2 = acNow U have three eqns. solve them and get a,b and c values and then think about the range of alpha simply.but putting those values in any eqn to get the range of alpha that is k.
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