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Beliebt Algebra >

completesquare 6x^2+5x

Lösung

vervollständige das quadrat

6 x^{2} + 5 x

Lösung

6 (x + \frac{5}{12})^{2} - \frac{25}{24}

Schritte zur Lösung

6 x^{2} + 5 x

Schreibe

6 x^{2} + 5 x

in dieser Form:

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

Klammere aus

6

6 (x^{2} + \frac{5 x}{6})

2 a = \frac{5}{6} : a = \frac{5}{12}

Addiere und subtrahiere

(\frac{5}{12})^{2}

6 (x^{2} + \frac{5 x}{6} + (\frac{5}{12})^{2} - (\frac{5}{12})^{2})

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

x^{2} + \frac{5}{6} x + (\frac{5}{12})^{2} = (x + \frac{5}{12})^{2}

6 ((x + \frac{5}{12})^{2} - (\frac{5}{12})^{2})

Vereinfache

6 (x + \frac{5}{12})^{2} - \frac{25}{24}

Graph

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