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Beliebt Algebra >

completesquare x^2+5x+8

Lösung

vervollständige das quadrat

x^{2} + 5 x + 8

Lösung

(x + \frac{5}{2})^{2} + \frac{7}{4}

Schritte zur Lösung

x^{2} + 5 x + 8

Schreibe

x^{2} + 5 x + 8

in dieser Form:

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

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

Addiere und subtrahiere

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

x^{2} + 5 x + 8 + (\frac{5}{2})^{2} - (\frac{5}{2})^{2}

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

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

(x + \frac{5}{2})^{2} + 8 - (\frac{5}{2})^{2}

Vereinfache

(x + \frac{5}{2})^{2} + \frac{7}{4}

Graph

Beliebte Beispiele

6 x^{2} - 4 x - 2 = 0

4 w^{2} + 12 w + 9 = 49

1 = 4 x^{2} + 3 x

x^{2} + 15 x + 14 = 0

7 + 2 n^{2} = 135