The number of solutions of x2 + 4|x| + 5 = 0 is

The number of solutions of x² + 4|x| + 5 = 0 is

A 0

B 2

C 1

D 5

E 4

Correct Answer: Option A

|x| is always positive.

The given equation is x² + 4|x| + 5 = 0

∴ all the terms on the left hand side are positive.

Thus, it will never be equal to zero for any value of x.

∴ Number of roots of the given equation are 0.