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Math Help - Need help completing the square

  1. #1
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    Need help completing the square

    I'm working on homework for completing the square, and I've hit a wall with the last problem. No matter how many different ways I attack the problem, I end up needing to take the square root of a negative to proceed. Could someone point me in the right direction here?
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  2. #2
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    ... which means that your equation does not have a solution.

    You're not doing anything wrong.

    -O
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  3. #3
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    Quote Originally Posted by ChrisEffinSmith View Post
    I'm working on homework for completing the square, and I've hit a wall with the last problem. No matter how many different ways I attack the problem, I end up needing to take the square root of a negative to proceed. Could someone point me in the right direction here?
    4x^2 + x + 11 = 0.

    Why not check the discriminant to see if there exists any solutions.

    \Delta = 1^2 - 4(4)(11)

    \Delta = 1 - 176

    \Delta = -175 < 0 \implies there are no solutions.
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