SOLUTION: A triangle has sides that measure 3, 8, and n. If 3 < n < 8 and n is an integer, how many different triangles are possible?

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Question 342297: A triangle has sides that measure 3, 8, and n. If 3 < n < 8 and n is an integer, how many different triangles are possible?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Solve by factoring:
35x + 19 = 3(x^2 - 3)
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35x + 19 = 3x^2 - 9
3x^2 - 35x - 28 = 0
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You would have to use the Quadratic Formula on this.
The zeroes are x = 12.4182... and x = -0.7516...
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Cheers,
Stan H.