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Math Help - polynomial equations!

  1. #1
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    polynomial equations!

    This is giving me some trouble and I need an answer soon.

    The equation is: x^2 - 6x + 38

    And there are 2 answers, which I assume is b + something, and b - something.

    I just don't get it.

    Thanks in advance.
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  2. #2
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    Question

    Quote Originally Posted by mankvill View Post
    The equation is: x^2 - 6x + 38
    This is not an equation, it is an expression. Did you mean x^2 - 6x + 38 = 0?

    If that's the case, then this equation has no solutions over the reals since the discriminant, b^2 - 4ac = 6^2 - 4\cdot1\cdot38 = -116, is negative. If you want to find the complex solutions, use the quadratic formula:

    x = \frac{-b\pm\sqrt{b^2 - 4ac}}{2a} = \frac{6\pm\sqrt{36-152}}{2}

     = 3\pm\frac{\sqrt{-116}}2 = 3\pm\frac{i\sqrt{116}}2 = 3\pm\frac{2\sqrt{29}}2\,i

    \boxed{= 3\pm\sqrt{29}\,i}
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  3. #3
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    That is what I meant, thank you very much!
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