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Solve the equation |x|+2*x = 3x

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greenblueshell | Student, Grade 10 | eNotes Newbie

Posted February 25, 2012 at 11:01 PM via web

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Solve the equation |x|+2*x = 3x

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embizze | High School Teacher | (Level 1) Educator Emeritus

Posted February 26, 2012 at 12:27 AM (Answer #2)

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Solve ipart(x)+2*fpart(x)=3:

(1) The integer part of x is always an integer, so for the sum to be an integer the fractional part must be 1/2 or 0

(2) Thus there are two answers:

x=3  int(3)+2frac(3)=3+0=3

x=2.5 int(2.5)+2frac(2.5)=2+2(.5)=2+1=3

 

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