If (3-x)+(6)+(7+5x) is a G.P.Find two possible values for x,common ratio,sum of the g.p.

3 answers

If the terms are a GP, then
6/(3-x) = (7+5x)/6
36 = 21 + 15x - 7x - 5x^2
5x^2 - 8x +15 = 0

This quadratic has no real solution, thus the terms are not a GP in the set of real numbers.

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If (3-×)+6+(7-3×) is a Gp.find the two possible values for x