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Beliebt Algebra >

completesquare 5x^2+6x+1

Lösung

vervollständige das quadrat

5 x^{2} + 6 x + 1

Lösung

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

Schritte zur Lösung

5 x^{2} + 6 x + 1

Schreibe

5 x^{2} + 6 x + 1

in dieser Form:

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

Klammere aus

5

5 (x^{2} + \frac{6 x}{5} + \frac{1}{5})

2 a = \frac{6}{5} : a = \frac{3}{5}

Addiere und subtrahiere

(\frac{3}{5})^{2}

5 (x^{2} + \frac{6 x}{5} + \frac{1}{5} + (\frac{3}{5})^{2} - (\frac{3}{5})^{2})

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

x^{2} + \frac{6}{5} x + (\frac{3}{5})^{2} = (x + \frac{3}{5})^{2}

5 ((x + \frac{3}{5})^{2} + \frac{1}{5} - (\frac{3}{5})^{2})

Vereinfache

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

Graph

Beliebte Beispiele

completesquare x^2+4x-7=0

co m pl e t es q u a re x^{2} + 4 x - 7 = 0

x^{2} + 22 = 7 x

m^{2} + 3 m - 10 = 0

x^{2} + 2 x = - 3

6 x = x^{2} + 5