Yahoo Answers is shutting down on May 4th, 2021 (Eastern Time) and beginning April 20th, 2021 (Eastern Time) the Yahoo Answers website will be in read-only mode. There will be no changes to other Yahoo properties or services, or your Yahoo account. You can find more information about the Yahoo Answers shutdown and how to download your data on this help page.

Trending News

Promoted
Anonymous
Anonymous asked in Science & MathematicsMathematics · 10 years ago

Solve the equation.. absolute value of [x] = x/2 + 3?

Solve the equation using algebra

[x] = x/2 + 3

5 Answers

Relevance
  • Anonymous
    10 years ago
    Favorite Answer

    (I use the | x | notation for the absolute value of x)

    Case 1 (x>=0):

    x=x/2 + 3

    2x=x+6

    x=6 (which satisfies x>=0)

    Case 2 (x<0):

    -x=x/2 + 3

    -2x=x+6

    3x= -6

    x= -2 (which satisfies x<0)

    so x = -2, 6

  • Elizabeth M
    Lv 7
    10 years ago

    If x>0 |x|=x so x=x/2+3 so x=?

    If x<0 |x|=-x so -x=x/2+3 so x=?

  • org berdosa
    Lv 6
    10 years ago

    x^2 - (x/2+3)^2=0

    (x-x/2-3)(x+x/2+3)=0

    X/2=3. So x= 6. Or 3x/2=-3. X=-2

  • __ E.А. Turin __
    Lv 6
    10 years ago

    |x| = x/2 + 3

    let x<0

    |x|=-x

    hence

    -x = x/2 + 3 => x₁=-2

    let x>=0

    |x|=x

    hence

    x = x/2 + 3 => x₂=6

  • How do you think about the answers? You can sign in to vote the answer.
  • Abigail
    10 years ago

    Well multiply each side by 2 and get 2x= x + 3 then subtract the x from the 2x and get x=3

    Source(s): My brain
Still have questions? Get your answers by asking now.