15x-x(x-4)>3 Solution 1. First step is to try to simplify by combining like term

Question

15x-x(x-4)>3

Explanation / Answer

1. First step is to try to simplify by combining like terms. I will factor in the x into x-4 first. 15x-x^2+4x> 3 would be the result. Next i combine like terms so we get -x^2 +19x > 3. Lets move the 3 over to the other side to get 0 on one side. -x^2 +19x - 3 > 0. Now we use quadratic formula and plug in -1 for a, 19 for b, and -3 and we get x = .15 and x = 18.84. If we look at the graph, we can see that we have a parabola facing down with x intercepts at x = .15 and x = 18.84. This verifies that the answer is (.15, 18.84) which basically means all x values from .15 to 18.84, not including either.

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