Solving Rational Equations with an extraneous solution, how to check

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  • Опубликовано: 15 окт 2024

Комментарии • 18

  • @jakubmardula5695
    @jakubmardula5695 6 лет назад +7

    About to take an Algebra 2 final and I forgot how to do these. I would like to commend you for not only teaching well but also teaching quickly, saving me much time. Have a good day!

    • @brianmclogan
      @brianmclogan  6 лет назад

      you are very welcome Jakub! Best of luck on your final

  • @redblueweronika
    @redblueweronika 6 лет назад +13

    You da math man that saved my life

  • @sunnydayvlogs2497
    @sunnydayvlogs2497 5 лет назад +11

    i hate how in schools nowadays we have everything on smart touch screen projectors. they are sooooo not helpful. first they hurt my eyes because the teachers give us h.w on computers and everything is on tech in our schools. we removed chalkboards. they were really helpful. aslo whiteboards are slowly getting removed. the way this guy did it on whiteboard really helped me. everyone learns differently. and limiting technology in classrooms will make us independent so we can actually use the little to no brains us humans have left.

    • @brianmclogan
      @brianmclogan  5 лет назад +4

      I agree with much of this, I still believe technology has its place and use but we have to be careful

  • @johnnolen8338
    @johnnolen8338 3 года назад +1

    There is a much simpler way to solve this. It doesn't require a quadratic equation and doesn't generate any possibly extraneous solutions.
    2 - 1/(x + 1) = 1/(x^2 + x).
    Move the rational expression on the left to the right.
    2 = 1/(x + 1) + 1/(x^2 + x).
    Factor the rational expression on the far right.
    2 = 1/(x + 1) + 1/[x(x + 1)].
    Add the fractions on the right to get a single rational expression.
    2 = (x + 1)/[x(x + 1)].
    The factors of (x + 1) divide out leaving:
    2 = 1/x.
    Multiplying both sides by the LCD gives: 2x = 1.
    Dividing both sides by two,
    x = 1/2. QED.

  • @iceandmotivation
    @iceandmotivation 6 лет назад +2

    What should i do if it is not factorable?

  • @mattjohnston7614
    @mattjohnston7614 7 лет назад +6

    You saved my life bro

  • @yess1154
    @yess1154 Год назад

    hey sir i am from tunisia i 17 Years old i am a fluent in english scientific brain i am seartching a way to study in the USA

    • @brianmclogan
      @brianmclogan  Год назад +1

      Awesome so happy to help you out!!

  • @irwandasaputra9315
    @irwandasaputra9315 2 года назад

    (2x+2-1):(x+1)=1:(x+1)x
    2x+1=1/x
    2x^2+x=1
    2x^2+x-1=0
    2x^2+2x-x-1
    2x(x+1)-1(x+1)
    (2x-1)(x+1)
    x=1/2 dan x=-1

  • @CM-pr1oq
    @CM-pr1oq 5 лет назад

    Can’t find a good video to show me how to simplify this most teachers break it down as if you already understand. Math teachers must be sad always thinking about their dam X!!

  • @elimclovin703
    @elimclovin703 3 года назад

    be my teacher plz