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.