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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} - 43

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} - 43

Graph

Beliebte Beispiele

x^{2} + \frac{1}{4} = 1

completesquare 2x^2+6x+3

co m pl e t es q u a re 2 x^{2} + 6 x + 3

11m^2-11m+3=6m^2

11 m^{2} - 11 m + 3 = 6 m^{2}

solvefor x,(x+y)^2=2x+2y

so l v e f or x, (x + y)^{2} = 2 x + 2 y

v^{2} - 9 v + 18 = 0