Question

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

• A. 0
• B. 1
• C. 2
• D. 4

Answer 1

The correct option is A

0

$\Rightarrow x^2+3|x|+2$ = 0 $\Rightarrow |x{|}^2+3|x|+2$ = 0

$\Rightarrow (|x|+1)(|x|+2)$ = 0

$\Rightarrow |x|$ = -1, $|x|$ = -2

$\Rightarrow$ equation has no real root.