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Beliebt Algebra >

completesquare x^2+2x-5

Lösung

vervollständige das quadrat

x^{2} + 2 x - 5

Lösung

(x + 1)^{2} - 6

Schritte zur Lösung

x^{2} + 2 x - 5

Schreibe

x^{2} + 2 x - 5

in dieser Form:

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

2 a = 2 : a = 1

Addiere und subtrahiere

1^{2}

x^{2} + 2 x - 5 + 1^{2} - 1^{2}

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

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

(x + 1)^{2} - 5 - 1^{2}

Vereinfache

(x + 1)^{2} - 6

Graph

Beliebte Beispiele

completesquare x^2+2x-8

co m pl e t es q u a re x^{2} + 2 x - 8

(x - 1)^{2} = - 8

completesquare x^2+2x=0

co m pl e t es q u a re x^{2} + 2 x = 0

(x - 1)^{2} = 81

500=3t^2+10t-900

500 = 3 t^{2} + 10 t - 900