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Question
The numbers x − 6, 2x and x2 are in G.P. Find x
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Solution
The numbers x − 6, 2x and x2 are in G.P.
∴ `(2x)/(x - 6) = x^2/(2x)`
∴ 4x2 = x2(x – 6)
∴ 4 = x – 6 ...[∵ x2 ≠ 0]
∴ x = 10
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