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Beliebt Algebra >

completesquare x^2-x+3

Lösung

vervollständige das quadrat

x^{2} - x + 3

Lösung

(x - \frac{1}{2})^{2} + \frac{11}{4}

Schritte zur Lösung

x^{2} - x + 3

Schreibe

x^{2} - x + 3

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 + 3 + (- \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} + 3 - (- \frac{1}{2})^{2}

Vereinfache

(x - \frac{1}{2})^{2} + \frac{11}{4}

Graph

Beliebte Beispiele

completesquare x^2-x+4

co m pl e t es q u a re x^{2} - x + 4

x^{2} - 3 x + 3 = 3

2 y^{2} - 5 y - 3 = 0

completesquare 6x^2-12x-2

co m pl e t es q u a re 6 x^{2} - 12 x - 2

9 x^{2} - 72 x = 0