Q.

Sum of the roots of the equation x2+|x|−6=0  is

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a

0

b

−1

c

5

d

None of these

answer is A.

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Detailed Solution

Given equation is x2+|x|−6=0 ⇒    |x|2+|x|−6=0 ⇒    (|x|+3)(|x|−2)=0 ⇒    |x|=−3  or  2  but  |x|≥0, Therefore, |x|=2  ⇒  x=−2  or  2. Hence, the sum of the roots =−2+2=0
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