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Beliebt Algebra >

completesquare s^2+5s+4

Lösung

vervollständige das quadrat

s^{2} + 5 s + 4

Lösung

(s + \frac{5}{2})^{2} - \frac{9}{4}

Schritte zur Lösung

s^{2} + 5 s + 4

Schreibe

s^{2} + 5 s + 4

in dieser Form:

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

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

Addiere und subtrahiere

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

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

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

s^{2} + 5 s + (\frac{5}{2})^{2} = (s + \frac{5}{2})^{2}

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

Vereinfache

(s + \frac{5}{2})^{2} - \frac{9}{4}

Graph

Beliebte Beispiele

12 x^{2} - 4 x = 5

- t^{2} + 3 t + 27 = 0

faktorisieren x^2-14x+49=0

f a c t or x^{2} - 14 x + 49 = 0

2 x^{2} + 3 x + \frac{9}{8} = 0

2 (x^{2} + 9) = 26