American Junior Olympiads || How to Solve for x? ||

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  • Опубліковано 3 січ 2025

КОМЕНТАРІ • 5

  • @MrPaulc222
    @MrPaulc222 4 години тому

    x/x^2 = 11
    x/11x^2 = 1
    x = 11x^2
    11x^2 - x = 0
    11x^2 - x - 0 = 0
    (1+or-sqrt(1 - 4*11*0))/22 = x
    (1+or-1)/22 = x
    x = 2/22 or 0/22
    x = 1/11 or 0,
    Some may regard 0 as an extraneous or undefined answer as it is saying 0/0 = 0.
    Quadratic formula can sometimes be used even when a coefficient is 0.

  • @AM-yk5yd
    @AM-yk5yd День тому

    My math teacher definitely would fail the first solution: you have quadratic equation, but simply solve it by dividing by x without telling why we are allowed to do it.
    after all 11xx-x = x(11x - 1) = 0, so x=0 is the solution to the equation. From original equation follows that x > 0 (we have sqrt that requires positive and div x which requires x != 0)

  • @QuestionableNameChoices123
    @QuestionableNameChoices123 6 годин тому

    Why do you not factor x into sqrt(x)*sqrt(x)

  • @troppapolvere
    @troppapolvere 14 годин тому

    My friend....looking at you detailing 1/2-1 = 1/2-1/1 really bores me to death.....