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Beliebt Algebra >

completesquare 2x^2+x-1

Lösung

vervollständige das quadrat

2 x^{2} + x - 1

Lösung

2 (x + \frac{1}{4})^{2} - \frac{9}{8}

Schritte zur Lösung

2 x^{2} + x - 1

Schreibe

2 x^{2} + x - 1

in dieser Form:

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

Klammere aus

2

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

2 a = \frac{1}{2} : a = \frac{1}{4}

Addiere und subtrahiere

(\frac{1}{4})^{2}

2 (x^{2} + \frac{x}{2} - \frac{1}{2} + (\frac{1}{4})^{2} - (\frac{1}{4})^{2})

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

x^{2} + \frac{1}{2} x + (\frac{1}{4})^{2} = (x + \frac{1}{4})^{2}

2 ((x + \frac{1}{4})^{2} - \frac{1}{2} - (\frac{1}{4})^{2})

Vereinfache

2 (x + \frac{1}{4})^{2} - \frac{9}{8}

Graph

Beliebte Beispiele

(7x-5)(3x+8)=15x+12

(7 x - 5) (3 x + 8) = 15 x + 12

x^{2} + 42 x = 0

13 x^{2} - 7 = 62

solvefor y,x^2+y^2=81

so l v e f or y, x^{2} + y^{2} = 81

8^{2} + b^{2} = 9^{2}