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Beliebt Algebra >

completesquare 2x^2+12x+7

Lösung

vervollständige das quadrat

2 x^{2} + 12 x + 7

Lösung

2 (x + 3)^{2} - 11

Schritte zur Lösung

2 x^{2} + 12 x + 7

Schreibe

2 x^{2} + 12 x + 7

in dieser Form:

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

Klammere aus

2

2 (x^{2} + 6 x + \frac{7}{2})

2 a = 6 : a = 3

Addiere und subtrahiere

3^{2}

2 (x^{2} + 6 x + \frac{7}{2} + 3^{2} - 3^{2})

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

x^{2} + 6 x + 3^{2} = (x + 3)^{2}

2 ((x + 3)^{2} + \frac{7}{2} - 3^{2})

Vereinfache

2 (x + 3)^{2} - 11

Graph

Beliebte Beispiele

12 x^{2} - 3 = 0

x^{2} + 45 = 14 x

completesquare x^2-x+1

co m pl e t es q u a re x^{2} - x + 1

x^2+(x+2)^2=(x+4)^2

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

2 x^{2} - 13 x + 25 = 0