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Question

For the equation |x|2+|x|6=0,the sum of the real roots is


A

1

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B

0

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C

2

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D

none of these

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Solution

The correct option is B

0


Let p = |x| p2+p6=0p2+3p2p6=0(p+3)(p2)=0p=3,2Also,|x|=p|x|=2, or |x|=3Modulus can not be negative,|x|=2x=±2x=2 or 2Sum of the roots of x is 0.


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