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Beliebt Algebra >

completesquare x^2-x-1

Lösung

vervollständige das quadrat

x^{2} - x - 1

Lösung

(x - \frac{1}{2})^{2} - \frac{5}{4}

Schritte zur Lösung

x^{2} - x - 1

Schreibe

x^{2} - x - 1

in dieser Form:

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

2 a = - 1 : a = - \frac{1}{2}

Addiere und subtrahiere

(- \frac{1}{2})^{2}

x^{2} - x - 1 + (- \frac{1}{2})^{2} - (- \frac{1}{2})^{2}

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

x^{2} - 1 x + (- \frac{1}{2})^{2} = (x - \frac{1}{2})^{2}

(x - \frac{1}{2})^{2} - 1 - (- \frac{1}{2})^{2}

Vereinfache

(x - \frac{1}{2})^{2} - \frac{5}{4}

Graph

Beliebte Beispiele

(x - 5)^{2} = - 25

completesquare 2x^2-7x+5

co m pl e t es q u a re 2 x^{2} - 7 x + 5

12 x^{2} - 30 x = 0

n^{2} - 20 n + 100 = 40

a = 4 π r^{2}