Question

Number of solution of equation |x-2|+|x-6| = 5 is/are


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Answer 1

x ² −5∣x∣+6=0

⇒∣x∣ ² −5∣x∣+6=0

⇒(∣x∣−3)(∣x∣−2)=0

⇒∣x∣=2,3

⇒x=±2,±3

Didn't got the same sum :(

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Answer 2

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x ² −5∣x∣+6=0

⇒∣x∣ ² −5∣x∣+6=0

⇒(∣x∣−3)(∣x∣−2)=0

⇒∣x∣=2,3

⇒x=±2,±3