Theory of Equations 1 Question 34

35. The number of real solutions of the equation |x|23|x|+2=0 is

(1982, 1M)

(a) 4

(b) 1

(c) 3

(d) 2

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Answer:

Correct Answer: 35. (a)

Solution:

  1. Since, |x|23|x|+2=0

(|x|1)(|x|2)=0|x|=1,2x=1,1,2,2

Hence, four real solutions exist.



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