SOLUTION: 12. Three consecutive terms of a geometric sequence are x - 3, 6, and x + 2. a. Find the possible values of x.

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Question 1104201: 12. Three consecutive terms of a geometric sequence are x - 3, 6, and x + 2.
a. Find the possible values of x.
Answer by ikleyn(52756) About Me  (Show Source):
You can put this solution on YOUR website!
.
The basic equation for this problem is this proportion


%28x%2B2%29%2F6 = 6%2F%28x-3%29,


which is reduced to this quadratic equation


(x+2)*(x-3) = 36.


Solve for x.