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Beliebt Algebra >

completesquare-6x-x^2-8

Lösung

vervollständige das quadrat

- 6 x - x^{2} - 8

Lösung

- (x + 3)^{2} + 1

Schritte zur Lösung

- 6 x - x^{2} - 8

Schreibe in der Standard Form

a x^{2} + b x + c

- x^{2} - 6 x - 8

Schreibe

- x^{2} - 6 x - 8

in dieser Form:

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

Klammere aus

- 1

- (x^{2} + 6 x + 8)

2 a = 6 : a = 3

Addiere und subtrahiere

3^{2}

- (x^{2} + 6 x + 8 + 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} + 8 - 3^{2})

Vereinfache

- (x + 3)^{2} + 1

Graph

Beliebte Beispiele

x^{2} - 8 x - 64 = - 8 x

3 x^{2} - 13 x - 30 = 0

- 8 - 5 n^{2} = - 88

6 x^{2} - 17 x + 6 = 0

(5x-2)^2-(3x+1)^2-x^2-60=0

(5 x - 2)^{2} - (3 x + 1)^{2} - x^{2} - 60 = 0