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Beliebt Algebra >

faktorisieren (x-4)^2-1/2

Lösung

faktorisieren

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

Lösung

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

Schritte zur Lösung

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

Wende Radikal Regel an:

a = (a)^{2}

\frac{1}{2} = (\frac{1}{2})^{2}

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

Wende Formel zur Differenz von zwei Quadraten an:

x^{2} - y^{2} = (x + y) (x - y)

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

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

Fasse zusammen

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

Beliebte Beispiele

x^{2} = \frac{1}{8}

t^{2} - \frac{64}{121} = 0

2^{k} \geq 36

faktorisieren n^2+16n+63

f a c t or n^{2} + 16 n + 63

- 140 < 10 x