If a,b,c are three terms in A.P and a^(2...

If a,b,c are three terms in A.P and `a^(2), b^(2), c^(2)` are in G.P. and `a + b + c = (3)/(2)` then find a. (where `a lt b lt c`)

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The correct Answer is:

`(1)/(2) +- (1)/(sqrt2), (1)/(2)`

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