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Beliebt Algebra >

completesquare 3x^2+9x

Lösung

vervollständige das quadrat

3 x^{2} + 9 x

Lösung

3 (x + \frac{3}{2})^{2} - \frac{27}{4}

Schritte zur Lösung

3 x^{2} + 9 x

Schreibe

3 x^{2} + 9 x

in dieser Form:

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

Klammere aus

3

3 (x^{2} + 3 x)

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

Addiere und subtrahiere

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

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

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

Vereinfache

3 (x + \frac{3}{2})^{2} - \frac{27}{4}

Graph

Beliebte Beispiele

solvefor x,10x^2-8y-8y^3=0

so l v e f or x, 10 x^{2} - 8 y - 8 y^{3} = 0

7 x + 1 = (2 x - 1)^{2}

(x - 1)^{2} + 7 = 56

2 b^{2} + 8 b - 19 = 5

- x^{2} + 11 x = 28