erweitern 2/5 (x-0.6065)(x-0.9512)

Lösung

erweitern

\frac{2}{5} (x - 0.6065) (x - 0.9512)

\frac{2 x ^{2}}{5} - \frac{3.1154 x}{5} + \frac{1442257}{6250000}

Schritte zur Lösung

\frac{2}{5} (x - 0.6065) (x - 0.9512)

Schreibe

\frac{2}{5} (x - 0.6065) (x - 0.9512)

um:

\frac{2}{5} (x^{2} - 1.5577 x + 0.5769028)

= \frac{2}{5} (x^{2} - 1.5577 x + 0.5769028)

Wende das Distributivgesetz an:

m (a + b + c) = ma + mb + m c

\frac{2}{5} (x^{2} - 1.5577 x + 0.5769028) = \frac{2}{5} x^{2} + \frac{2}{5} (- 1.5577 x) + \frac{2}{5} \cdot 0.5769028

= \frac{2}{5} x^{2} + \frac{2}{5} (- 1.5577 x) + \frac{2}{5} \cdot 0.5769028

Vereinfache

\frac{2}{5} x^{2} + \frac{2}{5} (- 1.5577 x) + \frac{2}{5} \cdot 0.5769028 : \frac{2 x ^{2}}{5} - \frac{3.1154 x}{5} + \frac{1442257}{6250000}

= \frac{2 x ^{2}}{5} - \frac{3.1154 x}{5} + \frac{1442257}{6250000}

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