wiskunde bewijs

• 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.