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Beliebt Algebra >

completesquare 2x^2+6x-8

Lösung

vervollständige das quadrat

2 x^{2} + 6 x - 8

Lösung

2 (x + \frac{3}{2})^{2} - \frac{25}{2}

Schritte zur Lösung

2 x^{2} + 6 x - 8

Schreibe

2 x^{2} + 6 x - 8

in dieser Form:

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

Klammere aus

2

2 (x^{2} + 3 x - 4)

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

Addiere und subtrahiere

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

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

Vereinfache

2 (x + \frac{3}{2})^{2} - \frac{25}{2}

Graph

Beliebte Beispiele

solvefor x,10x^2+10y^2=0

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

3 x^{2} = 5 - 14 x

(x + 3)^{2} = 9 x^{2}

2 q^{2} + 11 q + 13 = 0

3 (x + 1)^{2} - 1 = 11