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Beliebt Algebra >

completesquare s^2+s-1

Lösung

vervollständige das quadrat

s^{2} + s - 1

Lösung

(s + \frac{1}{2})^{2} - \frac{5}{4}

Schritte zur Lösung

s^{2} + s - 1

Schreibe

s^{2} + s - 1

in dieser Form:

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

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

Addiere und subtrahiere

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

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

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

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

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

Vereinfache

(s + \frac{1}{2})^{2} - \frac{5}{4}

Graph

Beliebte Beispiele

16 h^{2} = 25

(2 x - 8) (7 x + 5) = 0

49y^2-126y-244=0

49 y^{2} - 126 y - 244 = 0

x^{2} + 8 x - 6 = - 30

5 x^{2} - 3 x = - 10