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Beliebt Algebra >

completesquare 2x^2+2x+1

Lösung

vervollständige das quadrat

2 x^{2} + 2 x + 1

Lösung

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

Schritte zur Lösung

2 x^{2} + 2 x + 1

Schreibe

2 x^{2} + 2 x + 1

in dieser Form:

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

Klammere aus

2

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

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

Addiere und subtrahiere

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

2 (x^{2} + x + \frac{1}{2} + (\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}

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

Vereinfache

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

Graph

Beliebte Beispiele

8^{2} + 3^{2} = c^{2}

- k^{2} - 65 k + 720 = 0

- 16 x^{2} + 85 x = 0

faktorisieren x^2-7x=0

f a c t or x^{2} - 7 x = 0

3 x^{2} - 42 x = 120