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Beliebt Algebra >

completesquare 7x^2+2x

Lösung

vervollständige das quadrat

7 x^{2} + 2 x

Lösung

7 (x + \frac{1}{7})^{2} - \frac{1}{7}

Schritte zur Lösung

7 x^{2} + 2 x

Schreibe

7 x^{2} + 2 x

in dieser Form:

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

Klammere aus

7

7 (x^{2} + \frac{2 x}{7})

2 a = \frac{2}{7} : a = \frac{1}{7}

Addiere und subtrahiere

(\frac{1}{7})^{2}

7 (x^{2} + \frac{2 x}{7} + (\frac{1}{7})^{2} - (\frac{1}{7})^{2})

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

x^{2} + \frac{2}{7} x + (\frac{1}{7})^{2} = (x + \frac{1}{7})^{2}

7 ((x + \frac{1}{7})^{2} - (\frac{1}{7})^{2})

Vereinfache

7 (x + \frac{1}{7})^{2} - \frac{1}{7}

Graph

Beliebte Beispiele

2 9^{2} = 2 1^{2} + x^{2}

- 5 x^{2} + 20 x + 25 = 0

x^{2} - 24 x + 20 = 0

x^{2} + (- 2) x + 1 = 0

-0.001x^2+250=0.0006x^2+0.02x+100

- 0.001 x^{2} + 250 = 0.0006 x^{2} + 0.02 x + 100