Chapter 5 - Polynomials and Factoring - 5.8 Solving Applications - 5.8 Exercise Set - Page 360: 27

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We are given the following equation: $$ A=-50t^2 +200t$$ Plugging in 150 for A, we find: $$ 150=-50t^2+200t \\ -50t^2+200t-150=0 \\ t_{1,\:2}=\frac{-200\pm \sqrt{200^2-4\left(-50\right)\left(-150\right)}}{2\left(-50\right)} \\ t=1,3$$