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Question: No. of real solutions of \|x\| + 2\(\sqrt{5 - 4x - x^{2}}\)= 16 is /are...

No. of real solutions of |x| + 254xx2\sqrt{5 - 4x - x^{2}}= 16 is /are

A

6

B

1

C

0

D

4

Answer

0

Explanation

Solution

|x| + 29(x+2)2\sqrt{9 - (x + 2)^{2}}

has maximum value x = – 2

= 2 + 2 . 3 = 8

Hence no real solution