wiskunde bewijs

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Created by
Jorun Bogaerts

Cards (23)

  • Bewijs
    afleiding van de discriminant
    -> het aantal oplossingen (=nulwaarden) van een tweedegraadsvgl
    ax² + bx + c = 0
    4a. (ax²+bx+c) = 0.4a Beiden leden . met 4a
    4a²x² + 4abx + 4ac = 0
    4a²x² + 4abx + b² + 4ac = 0 + b² beiden leden tellen we b² op
    (2ax+b)² = b² - 4ac D=b²-4ac
    (2ax+b)² = D
    1. D>0 -> geen nulwaarde
  • D > of = 0 -> 2 nulwaarden
    D>0 : (2ax+b)² = D
    2ax + b = vD
    2ax = vD - b
    x = vD -b / 2a
    x = -b + vD / 2a
    of
    2ax + b = vD
    2ax = vD - b
    x = -vD - b / 2a
    x = -b - vD / 2a
  • -> D=0 -> 1 nulwaarde
    x1=x2= -b / 2a
  • What is the French term for "to move" or "to circulate"?
    Se déplacer / circuler
  • What is the French word for "displacement"?
    Le déplacement
  • What is the French term for "traffic"?
    La circulation, le trafic
  • Why is it important to choose a mode of transport?
    It affects how one moves from one place to another.
  • What does "se rendre à" mean in English?
    To go to
  • What is the meaning of "retourner" in French?
    To return
  • How would you say "He returned to France" in French?
    Il a regagné la France
  • What does "traverser" mean in English?
    To cross
  • What is the French term for "to cross the border"?
    Franchir la frontière
  • What does "l'essor de la mobilité douce" refer to?
    The rise of soft, alternative, responsible mobility.
  • What is the Dutch term for "to move" or "to circulate"?
    Zich verplaatsen
  • What is the Dutch word for "displacement"?
    De verplaatsing
  • What is the Dutch term for "traffic"?
    Het verkeer
  • Why is it important to choose a mode of transport in Dutch?
    Het beïnvloedt hoe men van de ene plaats naar de andere gaat.
  • What does "gaan naar" mean in English?
    To go to
  • What is the meaning of "terugkeren naar" in Dutch?
    To return to
  • How would you say "He returned to France" in Dutch?
    Hij is naar Frankrijk teruggekeerd
  • What does "de grens oversteken" mean in English?
    To cross the border
  • What does "de opkomst van zachte, alternatieve, verantwoordelijke mobiliteit" refer to?
    The rise of soft, alternative, responsible mobility.