Complex Numbers And Quadratic Equations question 750

Question: The real roots of the equation $ x^{2}+5|x|+4=0 $ are [UPSEAT 1993, 99; Orissa JEE 2004]

Options:

A) - 1, 4

B) 1, 4

C) - 4, 4

D) None of these

Show Answer

Answer:

Correct Answer: D

Solution:

$ x^{2}+5|x|+4=0 $
$ \Rightarrow |x{{|}^{2}}+5|x|+4=0 $
Þ $ |x|=-1,-4 $ , which is not possible. Hence, the given equation has no real root.