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?
f(-2) = (-2)^2 - 2 = 2
f(2) = 2 (2)+ 20 = 24
So
2 + 24 + f(a) = 0
26 + f(a) = 0
f(a) = -26
So either or
a^2 - 2 = -26 2a + 20 = -26
a^2 = -24 2a = -46
not possible a = -23 { but a must be >= 0 }
No answer to this one