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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?

 Mar 6, 2022
 #1
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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

 Mar 6, 2022

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