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Beliebt Algebra >

completesquare 2x^2+3x

Lösung

vervollständige das quadrat

2 x^{2} + 3 x

Lösung

2 (x + \frac{3}{4})^{2} - \frac{9}{8}

Schritte zur Lösung

2 x^{2} + 3 x

Schreibe

2 x^{2} + 3 x

in dieser Form:

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

Klammere aus

2

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

2 a = \frac{3}{2} : a = \frac{3}{4}

Addiere und subtrahiere

(\frac{3}{4})^{2}

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

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

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

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

Vereinfache

2 (x + \frac{3}{4})^{2} - \frac{9}{8}

Graph

Beliebte Beispiele

-5x^2-30x-150=0

- 5 x^{2} - 30 x - 150 = 0

x^{2} + x - 182 = 0

x (x - 6) = 7

x+15=((x-9)^2)/2

x + 15 = \frac{( x - 9 ) ^{2}}{2}

2 a^{2} - 5 a + 5 = 0