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Question

The sum of real roots of the equation $$\displaystyle x^{2}+|x|-6=0$$ is 


A
4
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B
0
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C
1
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D
none of these
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Solution

The correct option is D $$0$$
We have to consider two cases when $$x\geq0$$ and $$x<0$$
Case (1) When $$x\geq0$$
$${x}^{2}+x-6=0$$
$$(x-2)(x+3)=0$$
$$x=2$$ or $$x=-3$$ (neglected as $$x>0$$)
Case (2) When $$x<0$$
$${x}^{2}-x-6=0$$
$$(x+2)(x-3)=0$$
$$x=-2$$ or $$x=3$$ (neglected as $$x<0$$)
So, roots are $$2$$,$$-2$$ and their sum will be zero.

Mathematics

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