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Question
The numbers 3, x, and x + 6 form are in G.P. Find x
Solution
The numbers 3, x, and x + 6 are in G.P.
∴ `"x"/3 = ("x" + 6)/"x"`
∴ x2 = 3x + 18
∴ x2 – 3x – 18 = 0
∴ (x – 6)(x + 3) = 0
∴ x – 6 = 0 or x + 3 = 0
∴ x = 6 or x = – 3
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