• Lösen quadratischer Gleichungen
  • anonym
  • 22.11.2022
  • Mathematik
  • 9
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1
Löse die Gleichungen möglichst effektiv!
  • x2 – 4 = 64

  • (x + 3)2 = 36
  • (4·x + 2)2 = 9
  • (2·x – 6)2 = 9
  • x2 – 5 = 9

  • (3·x + 1)2 = 64
  • x2 – 6 = 100

  • (x – 4)2 = 16
  • x2 – 3 = 36

  • x2 – 4 = 16

  • (x – 7)2 = 16
  • (7·x – 8)2 = 4
  • x2 – 6 = 25

  • (x + 5)2 = 4
  • (3·x – 9)2 = 64
  • (7·x + 7)2 = 81
  • (4·x – 5)2 = 25
  • x2 – 7 = 49

  • (x + 10)2 = 4
  • (2·x + 9)2 = 36
  • (7·x + 9)2 = 4
  • (x – 2)2 = 9
  • (x – 1)2 = 81
  • (x – 8)2 = 49
2
Löse die Gleichungen möglichst effektiv!
  • (4·x + 2)2 = 81
  • x2 – 6·x = 4·x
  • (2·x + 9)(2·x – 5) = 0
  • x2 – 6·x = 0
  • (x – 8)(x + 7) = 0
  • (6·x + 5)(8·x – 4) = 0
  • (x – 2)(x + 3) = 0
  • (3·x + 6)(7·x – 6) = 0
  • x2 – 7·x = 2·x
  • (5·x + 9)(4·x – 5) = 0
  • x2 – 5·x = 5·x
  • (5·x + 4)2 = 25
  • (4·x + 6)2 = 36
  • x2 – 4·x = 9·x
  • (x – 5)(x + 3) = 0
  • 4·x2 + 8·x = 0
  • 2·x2 + 4·x = 0
  • (x – 3)(x + 6) = 0
  • x2 – 3·x = 0
  • (6·x + 8)(3·x – 7) = 0
  • x2 – 6·x = 3·x
  • x2 – 6·x = 0
  • x2 – 6·x = 5·x
  • x2 – 3·x = 0
3
Bringe die Gleichung auf die Normalform und löse die Gleichungen mithilfe der Lösungsformel!
  • x2 – 5·x – 4= – 6·x – 3
  • x2 + 11·x – 2= 7
  • x2 – 11·x – 4= – 1·x – 9
  • x2 + 11·x – 5= 3
  • x2 – 3·x – 5= – 7·x – 5
  • x2 + 8·x – 8= 14
  • x2 – 15·x + 8= 5
  • x2 – 9·x – 9= – 1·x – 12
  • x2 + 5·x – 3= 5
  • x2 + 15·x – 6= 5
  • – 3·x – 9= – 4 +x2
  • x2 – 9·x + 7= 3
  • x2 – 14·x – 5= 0
  • x2 + 9·x – 9= 10
  • – 7·x – 10= – 4 +x2
  • x2 – 9·x – 11= – 6·x – 5
  • x2 – 14·x – 8= 0
  • x2 – 7·x – 11= – 4·x – 14
  • – 11·x – 5= – 8 +x2
  • x2 – 10·x – 3= – 5·x – 8
  • x2 – 10·x – 11= 0
  • x2 – 11·x + 2= 4
  • x2 – 5·x – 5= – 5·x – 6
  • x2 + 13·x – 9= 6
4
Bringe die Gleichung auf die Normalform und löse die Gleichungen mithilfe der Lösungsformel!
  • 2·x2 – 3·x – 6= – 2·x – 2
  • 5·x2 – 13·x – 4= – 5·x – 5
  • 3·x2 – 9·x – 9= 0
  • – 11·x – 9= – 10 +7·x2
  • 6·x2 – 4·x + 8= 8
  • 7·x2 – 3·x – 6= 0
  • 2·x2 – 10·x + 11= 11
  • 3·x2 – 4·x – 10= – 3·x – 8
  • 5·x2 + 10·x – 11= 14
  • – 13·x – 11= – 4 +8·x2
  • 1·x2 – 4·x – 9= 0
  • 10·x2 – 10·x – 12= 0
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