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Beliebt Algebra >

completesquare 6x^2+5x-1

Lösung

vervollständige das quadrat

6 x^{2} + 5 x - 1

Lösung

6 (x + \frac{5}{12})^{2} - \frac{49}{24}

Schritte zur Lösung

6 x^{2} + 5 x - 1

Schreibe

6 x^{2} + 5 x - 1

in dieser Form:

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

Klammere aus

6

6 (x^{2} + \frac{5 x}{6} - \frac{1}{6})

2 a = \frac{5}{6} : a = \frac{5}{12}

Addiere und subtrahiere

(\frac{5}{12})^{2}

6 (x^{2} + \frac{5 x}{6} - \frac{1}{6} + (\frac{5}{12})^{2} - (\frac{5}{12})^{2})

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

x^{2} + \frac{5}{6} x + (\frac{5}{12})^{2} = (x + \frac{5}{12})^{2}

6 ((x + \frac{5}{12})^{2} - \frac{1}{6} - (\frac{5}{12})^{2})

Vereinfache

6 (x + \frac{5}{12})^{2} - \frac{49}{24}

Graph

Beliebte Beispiele

(x+2)^2+11(x+2)-12=0

(x + 2)^{2} + 11 (x + 2) - 12 = 0

solvefor y,y^2-2xy+9=0

so l v e f or y, y^{2} - 2 x y + 9 = 0

3 x^{2} - 2 x = 2 x + 7

x^{2} - 5 x - 15 = 0

solvefor a,(a+b)(a-b)=b(a-b)

so l v e f or a, (a + b) (a - b) = b (a - b)