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Beliebt Algebra >

faktorisieren x^2+13x+169/4

Lösung

faktorisieren

x^{2} + 13 x + \frac{169}{4}

Lösung

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

Schritte zur Lösung

x^{2} + 13 x + \frac{169}{4}

Rewrite in the form of

a^{2} + 2 ab + b^{2} :

\frac{169}{4} = (\frac{13}{2})^{2}

13 x = 2 x \frac{13}{2}

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

Wende Formel für perfekte quadratische Gleichungen an:

a^{2} + 2 ab + b^{2} = (a + b)^{2}

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

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

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