If the operation ∆ is defined by a ∆ b = (b - a)^2/a^2 for all numbers a and b, and a ≠ 0, ...

If the operation ∆ is defined by a ∆ b = (b - a)^2/a^2 for all numbers a and b, and a ≠ 0, then what is the result when we evaluate this expression: (-4) ∆ (4 ∆ −4) ?

Quiz

Answer/Solution

4

Steps/Work

(-4) ∆ (4 ∆ −4) =
(-4) ∆ (8^2/4^2) =
(-4) ∆ (4) =
(-8^2) / (-4)^2 = 4
The answer is B.