Question
Question: No. of real solutions of \|x\| + 2\(\sqrt{5 - 4x - x^{2}}\)= 16 is /are...
No. of real solutions of |x| + 25−4x−x2= 16 is /are
A
6
B
1
C
0
D
4
Answer
0
Explanation
Solution
|x| + 29−(x+2)2
has maximum value x = – 2
= 2 + 2 . 3 = 8
Hence no real solution