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  4. The number of roots of the equation |x|2+8|x|+15=0 is

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Q. The number of roots of the equation $|x|^2+8|x|+15=0$ is__

Quadratic Equations

Solution:

$|x|^2+8|x|+15=0 \Rightarrow(|x|+3)(|x|+5)=0 $
$ \Rightarrow|x|=-3 \text { or }|x|=-5 \text {, which are not possible. }$