• UnRelatedBurner@sh.itjust.works
      link
      fedilink
      English
      arrow-up
      29
      arrow-down
      1
      ·
      7 months ago

      Uhm, actually 🤓☝️!

      Afaik sqrt only returns positive numbers, but if you’re searching for X you should do more logic, as both -3 and 3 squared is 9, but sqrt(9) is just 3.

      If I’m wrong please correct me, caz I don’t really know how to properly write this down in a proof, so I might be wrong here. :p
      (ps: I fact checked with wolfram, but I still donno how to split the equation formally)

      • criitz@reddthat.com
        link
        fedilink
        English
        arrow-up
        22
        ·
        edit-2
        7 months ago

        You’re correct. The square root operator only returns the principal root (the positive one).

        So if x^2 = 9 then x = ±√9 = ±3

        That’s why in something like the quadratic formula we all had to memorize in school its got a “plus or minus” in it: -b ± √…(etc)

        • Routhinator@startrek.website
          link
          fedilink
          English
          arrow-up
          2
          arrow-down
          1
          ·
          7 months ago

          So I checked this on my smartphone first, and thought maybe the software is just shit… So then I checked it on a Casio scientific calc, and both agree.

          -3^2 = -9… And 9 != -9

          … Are all the calculators somehow wrong? What’s the math rule I’m forgetting here…

              • Routhinator@startrek.website
                link
                fedilink
                English
                arrow-up
                1
                ·
                7 months ago

                GD I am just realizing how long its been since I did math in my head without a programming language…

                I should take a math class again or something and refresh that knowledge.

      • h3ndrik@feddit.de
        link
        fedilink
        English
        arrow-up
        20
        ·
        edit-2
        7 months ago

        x^2 = 9

        <=>

        |x| = sqrt(9)

        would be correct. That way you get both 3 and -3 for x.

        That’s the way your math teacher would do it. So the correct version of the statement in the picture is: “if x^2 = 9 then abs(x) = 3”