The price C, in dollars per share, of a high-tech stock has fluctuated over a twelve-year period according to the equation C = 14 + 12x - x2, where x is in years. The price C, in dollars per share, of a second high-tech stock has shown a steady increase during the same time period according to the relationship C = 2x + 30. For what values are the two stock prices the same?

Question

Ashley Watts

Mathematics

9 March, 03:57

The price C, in dollars per share, of a high-tech stock has fluctuated over a twelve-year period according to the equation C = 14 + 12x - x2, where x is in years. The price C, in dollars per share, of a second high-tech stock has shown a steady increase during the same time period according to the relationship C = 2x + 30. For what values are the two stock prices the same?

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Answers (1)

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Chain · Answer 1

For this case we have the following equations:

C = 14 + 12x - x2

C = 2x + 30

Equating the equations we have:

14 + 12x - x2 = 2x + 30

Rewriting we have:

-x2 + 10x - 16 = 0

Solving the polynomial we have:

x1 = 2

x2 = 8

Answer:

the two stock prices are the same for:

x1 = 2

x2 = 8