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Beliebt Algebra >

completesquare 2x^2+6x+3

Lösung

vervollständige das quadrat

2 x^{2} + 6 x + 3

Lösung

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

Schritte zur Lösung

2 x^{2} + 6 x + 3

Schreibe

2 x^{2} + 6 x + 3

in dieser Form:

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

Klammere aus

2

2 (x^{2} + 3 x + \frac{3}{2})

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

Addiere und subtrahiere

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

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

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

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

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

Vereinfache

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

Graph

Beliebte Beispiele

11m^2-11m+3=6m^2

11 m^{2} - 11 m + 3 = 6 m^{2}

solvefor x,(x+y)^2=2x+2y

so l v e f or x, (x + y)^{2} = 2 x + 2 y

v^{2} - 9 v + 18 = 0

8 (- x^{2} - 1) = - 24

7 p^{2} = 35 p + 168