Questions  

Number of real solution(s) of the equation |x3|3x210x+3=1 is 

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By Expert Faculty of Sri Chaitanya
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a
exactly four
b
exactly three
c
exactly two
d
exactly one
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detailed solution

Correct option is B

Case (i) Let 3x2−10x+3=0⇒ (3x−1)(x−3)=0⇒ x=13 or x=3 But for x=3 , base |x−3|=0 , which does not satisfy the equation. Case (ii) |x−3|=1⇒ x=2 or x=5 Hence, three solutions x=13,2,5

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