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

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embizze eNotes educator| Certified Educator

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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