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Beliebt Algebra >

completesquare x^2+x+6

Lösung

vervollständige das quadrat

x^{2} + x + 6

Lösung

(x + \frac{1}{2})^{2} + \frac{23}{4}

Schritte zur Lösung

x^{2} + x + 6

Schreibe

x^{2} + x + 6

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 + 6 + (\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} + 6 - (\frac{1}{2})^{2}

Vereinfache

(x + \frac{1}{2})^{2} + \frac{23}{4}

Graph

Beliebte Beispiele

9 x^{2} + 6 x - 2 = 7

- 7 = 5 x^{2} - 4 x - 7

x^{2} - 15 = 10

x^2+x-12=x+4x+4

x^{2} + x - 12 = x + 4 x + 4

3 x^{2} - 486 = 0