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Beliebt Algebra >

completesquare s^2+s+5/4

Lösung

vervollständige das quadrat

s^{2} + s + \frac{5}{4}

Lösung

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

Schritte zur Lösung

s^{2} + s + \frac{5}{4}

Schreibe

s^{2} + s + \frac{5}{4}

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

Vereinfache

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

Graph

Beliebte Beispiele

3 x^{2} = 4 x + 4

(3a-10)(2a-7)=0

(3 a - 10) (2 a - 7) = 0

x^{2} + 45 = 180

2 x^{2} - 13 x + 12 = 0

8 x^{2} - 72 x = 0