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Beliebt Algebra >

completesquare 2x^2+16x+11

Lösung

vervollständige das quadrat

2 x^{2} + 16 x + 11

Lösung

2 (x + 4)^{2} - 21

Schritte zur Lösung

2 x^{2} + 16 x + 11

Schreibe

2 x^{2} + 16 x + 11

in dieser Form:

x^{2} + 2 a x + a^{2}

Klammere aus

2

2 (x^{2} + 8 x + \frac{11}{2})

2 a = 8 : a = 4

Addiere und subtrahiere

4^{2}

2 (x^{2} + 8 x + \frac{11}{2} + 4^{2} - 4^{2})

x^{2} + 2 a x + a^{2} = (x + a)^{2}

x^{2} + 8 x + 4^{2} = (x + 4)^{2}

2 ((x + 4)^{2} + \frac{11}{2} - 4^{2})

Vereinfache

2 (x + 4)^{2} - 21

Graph

Beliebte Beispiele

12 x^{2} - 60 x + 48 = 0

- x^{2} + 10 x - 15 = 1

0.012552x^2+0.666x=12.98

0.012552 x^{2} + 0.666 x = 12.98

4 x^{2} + 6 x = - 9

7 x^{2} = 56 x