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Let

f(n) = n^2 - 2 if n < 0

f(n) = 2n + 20 if n >= 0

What is the positive difference between the two values of a that satisfy the equation f(2) + f(-2) - f(a) = 0?

 Jul 12, 2021
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For the first, we find n^2 = 28, n < 0 so it is n = -2√7.

 

For the second, we have 6 - 2n = 0, n >= 0 so it is n = 3

 

|-2√7 - 3| = 3 + 2√7

 Jul 12, 2021

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