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Beliebt Algebra >

completesquare x^2+13x

Lösung

vervollständige das quadrat

x^{2} + 13 x

Lösung

(x + \frac{13}{2})^{2} - \frac{169}{4}

Schritte zur Lösung

x^{2} + 13 x

Schreibe

x^{2} + 13 x

in dieser Form:

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

2 a = 13 : a = \frac{13}{2}

Addiere und subtrahiere

(\frac{13}{2})^{2}

x^{2} + 13 x + (\frac{13}{2})^{2} - (\frac{13}{2})^{2}

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

x^{2} + 13 x + (\frac{13}{2})^{2} = (x + \frac{13}{2})^{2}

(x + \frac{13}{2})^{2} - (\frac{13}{2})^{2}

Vereinfache

(x + \frac{13}{2})^{2} - \frac{169}{4}

Graph

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