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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