Question:
The number of real solutions of the equation $x^2 - 3 |x| + 2 = 0$ is
The number of real solutions of the equation $x^2 - 3 |x| + 2 = 0$ is
Updated On: Aug 1, 2022
- $2$
- $4$
- $1$
- $3$
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The Correct Option is B
Solution and Explanation
$x^{2}-3\left|x\right|+2=0$
$\left(\left|x\right|-1\right)\left(\left|x\right|-2\right)=0$
$\Rightarrow x=\pm1, \pm2.$
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Concepts Used:
Complex Number
A Complex Number is written in the form
a + ib
where,
- “a” is a real number
- “b” is an imaginary number
The Complex Number consists of a symbol “i” which satisfies the condition i^2 = −1. Complex Numbers are mentioned as the extension of one-dimensional number lines. In a complex plane, a Complex Number indicated as a + bi is usually represented in the form of the point (a, b). We have to pay attention that a Complex Number with absolutely no real part, such as – i, -5i, etc, is called purely imaginary. Also, a Complex Number with perfectly no imaginary part is known as a real number.