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The solution of 2x² - 6x = 0 when?
  1. x∈0{3}
  2. x∈0{0}
  3. x∈W is {0, 3}
  4. All of these
Explanation
  • Step 1: Factor the equation

    2x26x=02 x squared minus 6 x equals 0

    Factor out
    2x2 x
    from both terms to get:
    2x(x3)=02 x open paren x minus 3 close paren equals 0
  • Step 2: Solve for x
    Set each factor equal to zero to find the solutions:
    2x=02 x equals 0
    leads to
    x=0x equals 0

    x3=0x minus 3 equals 0
    leads to
    x=3x equals 3
  • Step 3: Check the options
    The solutions are
    x=0x equals 0
    and
    x=3x equals 3
    . The notationx∈W is {0, 3}means that the solutions are 0 and 3, and they are elements of the set of whole numbers (W), which is true.
     
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