Olympiad Mathematics | The second solution satisfies

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  • Опубликовано: 4 ноя 2024

Комментарии • 9

  • @1234larry1
    @1234larry1 16 часов назад

    because you squared the sqrt of x, this produced the extraneous root of 16. This is because, in general (-4)^2 can also produce 16, but the principle sqrt of 16 is +4 not -4. This is why one must always check solutions in the original equation because an interim solution (such as a solution of an interim quadratic) is not always a true solution.

  • @RealQinnMalloryu4
    @RealQinnMalloryu4 День назад

    {x+x ➖ }+{x+x ➖}={x^2+x^2 }=x^4 x^2^2 (x ➖ 2x+2).

  • @Misha-g3b
    @Misha-g3b 22 часа назад

    9.

  • @bahramatarzadeh
    @bahramatarzadeh 2 часа назад

    It's not complete we have Answer with i

  • @bahramatarzadeh
    @bahramatarzadeh 2 часа назад

    Hi it's not complete

  • @Demotivator.
    @Demotivator. 2 дня назад +2

    Зачем так запутано.
    Y=√x
    Y+Y^2=12
    Y^2+Y-12=0
    Дальше решаем квадратное уравнение и получаем
    Y=3
    Соответственно х=9

    • @rvqx
      @rvqx 19 часов назад

      Y=3 or Y=-4 You cannot reject Y= -4 right away, maybe it will give you an imaginairy solution.

  • @dardoburgos3179
    @dardoburgos3179 2 дня назад +1

    X= 9.

    • @alansun70
      @alansun70 2 дня назад

      16 doesn't work in the original equation.