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Complete the square
2y^2-y-6=0

  • college -

    2(y^2-1/2 y -3)

    add and subtract (1/4)^2

    2(y^2-1/2 y +1/16 -3-1/16)=0
    2(y-1/4)^2=6 1/8
    (y-1/4)^2= 3 1/16=49/16

  • algebra -

    The subject is algebra, and it is not college level.

    Start with
    y^2 -y/2 = 3
    To make the left a perfect square, add 1/16 to both sides.
    y^2 - y/2 + 1/16 = 49/16
    [y - (1/4)]^2 = 49/16
    y - 1/4 = + or - 7/4
    Add 1/4 to both sides for the two answers

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