x = \frac{-2 \pm 4\sqrt{3}}{2} = -1 \pm 2\sqrt{3}
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- x^2 + 2x - 3 = 8
- x^2 + 2x - 11 = 0
- x = \frac{-2 \pm \sqrt{4 + 44}}{2} = \frac{-2 \pm \sqrt{48}}{2}
- Valid solution (since \(x > 1\)):
- x = -1 + 2\sqrt{3}
- A company's profit function is modeled by \(P(x) = -5x^2 + 150x - 1000\), where \(x\) is the number of units sold. Find the number of units that maximizes profit.
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