First slide

Theory of equations

Question

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

Moderate

A

4
B

1
C

2
D

nfinite

Solution

$| x |^{2} - 3 | x | + 2 = 0 \Rightarrow | x | = 1, 2 \Rightarrow x = \pm 1, \pm 2$

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