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Beliebt Algebra >

completesquare 4x^2+4x+26

Lösung

vervollständige das quadrat

4 x^{2} + 4 x + 26

Lösung

4 (x + \frac{1}{2})^{2} + 25

Schritte zur Lösung

4 x^{2} + 4 x + 26

Schreibe

4 x^{2} + 4 x + 26

in dieser Form:

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

Klammere aus

4

4 (x^{2} + x + \frac{13}{2})

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

Addiere und subtrahiere

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

4 (x^{2} + x + \frac{13}{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}

4 ((x + \frac{1}{2})^{2} + \frac{13}{2} - (\frac{1}{2})^{2})

Vereinfache

4 (x + \frac{1}{2})^{2} + 25

Graph

Beliebte Beispiele

4 z^{2} - 3 z - 3 = 0

0 = x^{2} - 12 x + 27

x^{2} - 4 x - 480 = 0

10 x^{2} - 9 = 0

3 0^{2} + 4 5^{2} = x^{2}