The number of real solutions of the equation $| x |^{2} - 3 | x | + 2 = 0$ is ?

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Solution

The correct option is C $0$
Given eqn is ${| x |}^{2} + 3 | x | + 2 = 0$

$| x | = \frac{- 3 \pm \sqrt{9 - 8}}{2} = - 2$ or $- 1$

But $| x |$ cannot be negative

∴No solution exists for this equation.

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