SOLUTION: The number of inmates N (measured in thousands) in federal and state prisons can be approximated by the equation N=-2.02x^2 + 77.89x + 743, where x is the number of years since 199

Question 812461: The number of inmates N (measured in thousands) in federal and state prisons can be approximated by the equation N=-2.02x^2 + 77.89x + 743, where x is the number of years since 1990. In what year was the number of inmates expected to be 1,280,390?
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
-2.02x^2 + 77.89x + 743 = 1280390
-2.02x^2 + 77.89x + 1279647 = 0
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the above quadratic equation is in standard form, with a=-2.02, b=77.89, and c=1279647
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to solve the above equation using the quadratic formula, plug this:
-2.02 77.89 1279647
into this: https://sooeet.com/math/quadratic-equation-solver.php
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the roots (x-intercepts) of the above quadratic equation are:
x = 815.433156
x = -776.87375
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In what year was the number of inmates expected to be 1,280,390?
1990 + 815 = 2805
Answer:
in the year 2805
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