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Beliebt Algebra >

completesquare 4x^2+5x-6

Lösung

vervollständige das quadrat

4 x^{2} + 5 x - 6

Lösung

4 (x + \frac{5}{8})^{2} - \frac{121}{16}

Schritte zur Lösung

4 x^{2} + 5 x - 6

Schreibe

4 x^{2} + 5 x - 6

in dieser Form:

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

Klammere aus

4

4 (x^{2} + \frac{5 x}{4} - \frac{3}{2})

2 a = \frac{5}{4} : a = \frac{5}{8}

Addiere und subtrahiere

(\frac{5}{8})^{2}

4 (x^{2} + \frac{5 x}{4} - \frac{3}{2} + (\frac{5}{8})^{2} - (\frac{5}{8})^{2})

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

x^{2} + \frac{5}{4} x + (\frac{5}{8})^{2} = (x + \frac{5}{8})^{2}

4 ((x + \frac{5}{8})^{2} - \frac{3}{2} - (\frac{5}{8})^{2})

Vereinfache

4 (x + \frac{5}{8})^{2} - \frac{121}{16}

Graph

Beliebte Beispiele

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