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Math Help - Solve by completing the square

  1. #1
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    Solve by completing the square

    Must solve by completing the square

    (y^2)+3=(y/2)

    thx, I really can't get this one and I'm also pretty sure there are no solutions so I don't really understand what my teacher wants
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  2. #2
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    Quote Originally Posted by jorygoldsmith View Post
    Must solve by completing the square

    (y^2)+3=(y/2)

    thx, I really can't get this one and I'm also pretty sure there are no solutions so I don't really understand what my teacher wants
    \displaystyle y^2 - \frac{y}{2} = -3

    \displaystyle y^2 - \frac{y}{2} + \frac{1}{16} = -3 + \frac{1}{16}<br />

    \displaystyle \left(y - \frac{1}{4}\right)^2 = -\frac{47}{16}

    now you can say for sure that y has no real solutions.
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  3. #3
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    First, rearrange.

    y^2-\frac{1}{2}y=-3

    Then,  \left(\frac{b}{2}\right)^2

    Add to both sides and simplify.
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