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    Shouldn't the x/2 at 7:52 be positive or negative as well?

    Module 2 Day 4 Your Turn Part 3
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    • debbieD
      debbie ADMIN M0★ M1 M5
      last edited by debbie

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      • debbieD
        debbie ADMIN M0★ M1 M5
        last edited by

        [Originally posted in the Discussions]

        Shouldn't the x/2 at 7:52 be positive or negative as well?

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        • debbieD
          debbie ADMIN M0★ M1 M5
          last edited by

          In this case, since x represents the length of the diagonal of the trapezoid, it wouldn't be possible for x/2 to be a negative number. In general, though, you are right; this equation falls in to the category of "quadratic equations," which have an x-squared term. It's possible to show that quadratic equations always have two solutions.

          You can see Prof. Loh talk about a cool way of solving quadratic equations which he came up with while developing Module 4: Algebra Tools. You can also read more about him and his quadratic method in this NYT article.

          Happy Learning!

          The Daily Challenge Team

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