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Beliebt Algebra >

completesquare x^2+5x+6

Lösung

vervollständige das quadrat

x^{2} + 5 x + 6

Lösung

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

Schritte zur Lösung

x^{2} + 5 x + 6

Schreibe

x^{2} + 5 x + 6

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 + 6 + (\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} + 6 - (\frac{5}{2})^{2}

Vereinfache

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

Graph

Beliebte Beispiele

x^2+(x+2)^2=202

x^{2} + (x + 2)^{2} = 202

x^{2} = - 14

x^{2} + 1 x + 2 = 0

x^{2} - 15 x - 2 = 0

x^{2} + 30 x - 7000 = 0