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JEE MATHEMATICS MCQ: THEORY OF EQUATION

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Analyzing +4 | -1
The real roots of ∣x∣3−3  x2+3∣x∣−2=0{\left| x \right|^3} - 3\;{x^2} + 3\left| x \right| - 2 = 0 are
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Correct option: C
±  2\pm \;2
Option C (±  2\pm \;2) is correct because by substituting ∣x∣|x| into the equation and solving, we find that the real roots are ±2\pm 2.

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