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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

4 x^{2} + 12 x = 18

0 = 2 x^{2} - 10 x + 8

5 x^{2} = - 30 x - 65

x^{2} + 4 x - 25 = 0

- 3 t^{2} + 14 t - 14 = 0