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Beliebt Algebra >

completesquare 16x^2+56x

Lösung

vervollständige das quadrat

16 x^{2} + 56 x

Lösung

16 (x + \frac{7}{4})^{2} - 49

Schritte zur Lösung

16 x^{2} + 56 x

Schreibe

16 x^{2} + 56 x

in dieser Form:

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

Klammere aus

16

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

2 a = \frac{7}{2} : a = \frac{7}{4}

Addiere und subtrahiere

(\frac{7}{4})^{2}

16 (x^{2} + \frac{7 x}{2} + (\frac{7}{4})^{2} - (\frac{7}{4})^{2})

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

x^{2} + \frac{7}{2} x + (\frac{7}{4})^{2} = (x + \frac{7}{4})^{2}

16 ((x + \frac{7}{4})^{2} - (\frac{7}{4})^{2})

Vereinfache

16 (x + \frac{7}{4})^{2} - 49

Graph

Beliebte Beispiele

(2x+1)^2-(x-3)^2=0

(2 x + 1)^{2} - (x - 3)^{2} = 0

3 x^{2} = 30000

5 x^{2} - 17 x + 11 = 0

x^{2} - 1 = 2 x - 1

75x^2+291600x+1944=2244

75 x^{2} + 291600 x + 1944 = 2244