SOLUTION: Hello: I need to solve: P(n) = -2n^2 + 40n + 20

Question 268925: Hello: I need to solve: P(n) = -2n^2 + 40n + 20
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Not sure what you want to solve.

Is a lovely little quadratic function. But since you haven't provided a value for

, there are an infinite number of ordered pairs

that satisfy the equation.

Now if what you really meant to ask is "What are the roots of

?", in other words, what are the solutions to:

That is another thing altogether. Presuming that is your real question, proceed as follows.

Multiply both sides by

The quadratic does not factor, so use the quadratic formula:

You can do your own arithmetic. Note that the prime factorization of 440 is 2 x 2 x 2 x 5 x 11, so the best you will be able to do with the radical is

John

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