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Beliebt Algebra >

completesquare x^2+15x+54

Lösung

vervollständige das quadrat

x^{2} + 15 x + 54

Lösung

(x + \frac{15}{2})^{2} - \frac{9}{4}

Schritte zur Lösung

x^{2} + 15 x + 54

Schreibe

x^{2} + 15 x + 54

in dieser Form:

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

2 a = 15 : a = \frac{15}{2}

Addiere und subtrahiere

(\frac{15}{2})^{2}

x^{2} + 15 x + 54 + (\frac{15}{2})^{2} - (\frac{15}{2})^{2}

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

x^{2} + 15 x + (\frac{15}{2})^{2} = (x + \frac{15}{2})^{2}

(x + \frac{15}{2})^{2} + 54 - (\frac{15}{2})^{2}

Vereinfache

(x + \frac{15}{2})^{2} - \frac{9}{4}

Graph

Beliebte Beispiele

(x - 4)^{2} = 2 x

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- 8 x + 4 x^{2} = - 4 - 2 x