SOLUTION: Find AB if B is the midpoint of AC and AB = 2x^2+1 and BC = 9x+6

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Question 987275: Find AB if B is the midpoint of AC and AB = 2x^2+1 and BC = 9x+6
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
B the midpoint means AB=BC.

2x%5E2%2B1=9x%2B6
2x%5E2-9x-5=0
%282x%2B1%29%28x-5%29=0

You do the rest.

Final result should be AB is either 1.5 OR 51.
Either is acceptable since neither length is negative.