Maxima and MinimaHard

Question

If , then the maximum value of Z is equal to

Options

A.√3 + 1
B.√5 + 1
C.2
D.2 + √2

Solution


⇒    
⇒     |Z|2 - 2|Z| - 4 ≤ 0
(|Z|-(√5 + 1))(|Z| - (1 - √5)) ≤ 0 ⇒ 1 - √5 ≤ |Z| ≤ √5 + 1

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