Question

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

A
4
B
0
C
1
D
none of these

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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