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Math Help - Moar Quadratics!

  1. #16
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    Re: Moar Quadratics!

    That still wouldn't equal the answer given in the textbook. The answer is: (2 +- sqrt2)/2
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  2. #17
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    Re: Moar Quadratics!

    Okay, you found:

    x=1\pm\sqrt{\frac{1}{2}}

    Now, let's multiply this by 1=\frac{2}{2}

    x=\left(1\pm\sqrt{\frac{1}{2}} \right)\cdot\frac{2}{2}= \frac{2\left(1\pm\sqrt{\frac{1}{2}} \right)}{2}= \frac{2\pm\sqrt{2}}{2}

    Your answer is equivalent to that given by your textbook, just in a different form.
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  3. #18
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    Re: Moar Quadratics!

    Okay, thanks.

    This is going to sound really stupid, but it's just to clarify my understanding: How does 2 x sqrt(1/2) = sqrt2?
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  4. #19
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    Re: Moar Quadratics!

    2\sqrt{\frac{1}{2}}=2\cdot\frac{1}{\sqrt{2}}=\frac  {(\sqrt{2})^2}{\sqrt{2}}=\sqrt{2}
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  5. #20
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    Re: Moar Quadratics!

    Thanks!
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