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Math Help - find the set of values...?

  1. #1
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    find the set of values...?

    Find the set of values of k for which the equation 2x(sqrd) + kx + 2 = 0 has no real roots.

    i have no idea how to solve this... can somone please explain?

    thanks
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  2. #2
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    Quote Originally Posted by RubbishAtMaths View Post
    Find the set of values of k for which the equation 2x(sqrd) + kx + 2 = 0 has no real roots.

    i have no idea how to solve this... can somone please explain?

    thanks
    A quadratic equation of the form  ax^2+bc+c = 0 has no real roots when its discriminant ( b^2-4ac) is less than 0.

    In other word, you have to find values of k for which:

    k^2-4(2)(2) < 0
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  3. #3
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    Quote Originally Posted by Mush View Post
    A quadratic equation of the form  ax^2+bc+c = 0 has no real roots when its discriminant ( b^2-4ac) is less than 0.

    In other word, you have to find values of k for which:

    k^2-4(2)(2) < 0
    k^2 < 16 so is the answer  -4 < k < 4?
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  4. #4
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    Quote Originally Posted by RubbishAtMaths View Post
    k^2 < 16 so is the answer  -4 < k < 4?
    Yep!
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