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Question

Mathematics Question on complex numbers

The number of real solutions of the equation x23x+2=0x^2 - 3 |x| + 2 = 0 is

A

22

B

44

C

11

D

33

Answer

44

Explanation

Solution

x23x+2=0x^{2}-3\left|x\right|+2=0 (x1)(x2)=0\left(\left|x\right|-1\right)\left(\left|x\right|-2\right)=0 x=±1,±2.\Rightarrow x=\pm1, \pm2.