Quadratic EquationMedium
Question
The number of real solutions of the equation |x|2 - 3|x| + 2 = 0 is
Options
A.4
B.1
C.3
D.2
Solution
Since, |x|2 - 3|x| + 2 = 0
⇒ (|x| -1)(|x| -2) = 0 ⇒ |x| = 2
∴ x = 1, -1, 2, -2Hence, four real solutions exist.
⇒ (|x| -1)(|x| -2) = 0 ⇒ |x| = 2
∴ x = 1, -1, 2, -2Hence, four real solutions exist.
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