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Beliebt Algebra >

completesquare y^2+y

Lösung

vervollständige das quadrat

y^{2} + y

Lösung

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

Schritte zur Lösung

y^{2} + y

Schreibe

y^{2} + y

in dieser Form:

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

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

Addiere und subtrahiere

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

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

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

y^{2} + 1 y + (\frac{1}{2})^{2} = (y + \frac{1}{2})^{2}

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

Vereinfache

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

Graph

Beliebte Beispiele

solvefor x,x^2-4x=0

so l v e f or x, x^{2} - 4 x = 0

-x^2+500x-62.5=0

- x^{2} + 500 x - 62.5 = 0

completesquare 9x^2-12x+4=0

co m pl e t es q u a re 9 x^{2} - 12 x + 4 = 0

x^{2} + 6 x + 17 = 0

x^{2} - 4 x = 8