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Beliebt Algebra >

completesquare x^2+6x+17

Lösung

vervollständige das quadrat

x^{2} + 6 x + 17

Lösung

(x + 3)^{2} + 8

Schritte zur Lösung

x^{2} + 6 x + 17

Schreibe

x^{2} + 6 x + 17

in dieser Form:

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

2 a = 6 : a = 3

Addiere und subtrahiere

3^{2}

x^{2} + 6 x + 17 + 3^{2} - 3^{2}

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

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

(x + 3)^{2} + 17 - 3^{2}

Vereinfache

(x + 3)^{2} + 8

Graph

Beliebte Beispiele

completesquare x^2+6x+18

co m pl e t es q u a re x^{2} + 6 x + 18

- 6 x = x^{2} + 10

(3 x + 1)^{2} = 49

1 3^{2} + 5^{2} = x^{2}

- 5 x^{2} - 8 x = - 4