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Samenvatting Tweedegraads of kwadratische functies en vergelijkingen $12.49   Add to cart
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Samenvatting Tweedegraads of kwadratische functies en vergelijkingen
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  • Course
  • Wiskunde
  • Institution
  • 2e Graad

Na de les wiskunde is het belangrijk om veel te oefenen, want zonder oefenen vergeet je snel wat je geleerd hebt. Daarom Oefenboeken wiskunde beschikbaar 1. Uitleg via voorbeelden via video op Youtube 2. Uitgeschreven voorbeeld via mijn website 3. 3 tot 6 Interactieve multiple choice oefeningen...

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Document information

  • April 20, 2023
  • 23
  • 2022/2023
  • Summary

Subjects

  • kwadratische functies
  • symmetrie as en top
  • tekenverloop
  • vraagstukken
  • kwadratische vergelijkingen
  • bikwadratische vergelijkinegn

Written for

  • Secondary school
  • 2e graad
  • Wiskunde
  • 4
All documents for this subject (63)

Seller

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jozefaertswiskunde

Content preview

I. Kwadratische vergelijkingen/functies

A. Vierkantsvergelijkingen

1. Onvolledige Vierkantsvergelijkingen
Video op Youtube Interactieve Oefening Uitgewerkte oefening




𝒂𝒙𝟐 = 𝟎 𝒐𝒇 𝒂𝒙𝟐 + 𝒄 = 𝟎 𝒐𝒇 𝒂𝒙𝟐 + 𝒃𝒙 = 𝒄
6x² – 24 = 0 3x² - 9x = 0




-5x² = 0 11x² + 6 = 0




-6x² + 12x = 0 x² – 9 = 0




5x² + 10x = 0 4x² + 9 = 0




6x² - 36x = 0 6x² – 3x = 0




Oplossingen {-2,2} /{0,3} / {0}/{}/{0,2}/{-3,3}/{0,-2}/{}/{0,6}/{0,1/2}

, 2. Volledige Vierkantsvergelijkingen
𝒂𝒙𝟐 + 𝒃𝒙 + 𝒄 = 𝟎
SAMENVATTING : Als ax² + bx + c = 0 dan D =

…………………………………….



Als D > 0 dan …….. oplossingen namelijk



………………………………………………………………………………………




Als D = 0 dan …………………… oplossingen namelijk




………………………………………………………………….




Als D < 0 dan …………………… oplossingen namelijk




………………………………………………………………….

, a) Kwadratische vergelijkingen met 2
oplossingen
Video op Youtube Bookwidgets Oefening Uitgewerkte oefening




−𝑏 ± √𝐷
𝑎𝑥 ! + 𝑏𝑥 + 𝑐 = 0 𝑚𝑒𝑡 𝐷 > 0 𝑑𝑢𝑠 𝑥",! =
2𝑎
Deze vierkantsvergelijkingen hebben 2 oplossingen. Zoek deze oplossingen.
𝑥 ! − 5𝑥 + 6 = 0 𝑥 ! − 𝑥 − 12 = 0




2𝑥 ! − 8𝑥 − 10 = 0 −2𝑥 ! + 10𝑥 − 12 = 0




𝑥 ! − 4𝑥 + 3 = 0 −6𝑥 ! − 𝑥 + 2 = 0




12𝑥 ! + 7𝑥 + 1 = 0 3𝑥 ! − 𝑥 − 2 = 0




"! $ "$ "$ "!
Antwoorden (2,3) ∥ (−3,4) ∥ (−1,5) ∥ (2,3) ∥ (1,3) ∥ 3 # , !4 ∥ 3 # , %
4 ∥ 31, #
4

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