Let
f(n) = n^2 - 2 if n < 0
f(n) = 2n - 28 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?
f(-2) = n^2 - 2 = 2
f(2) = 2n - 28 = - 24
2 + (-24) + f(a) = 0
f(a) = 22
n^2 - 2 = 22 a1 = - sqrt (24)
2n-28 = 22 a2 = 5
5 - ( - sqrt 24) = 5 + sqrt 24