faktorisieren 0.6x^2-20+14

Lösung

faktorisieren

0.6 x^{2} - 20 + 14

(0.77459 \dots x + 2.44948 \dots) (0.77459 \dots x - 2.44948 \dots)

Schritte zur Lösung

0.6 x^{2} - 20 + 14

Addiere/Subtrahiere die Zahlen:

- 20 + 14 = - 6

= 0.6 x^{2} - 6

Schreibe

0.6 x^{2} - 6

um:

(0.6 x)^{2} - (6)^{2}

= (0.6 x)^{2} - (6)^{2}

Wende Formel zur Differenz von zwei Quadraten an:

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

(0.6 x)^{2} - (6)^{2} = (0.6 x + 6) (0.6 x - 6)

= (0.6 x + 6) (0.6 x - 6)

0.6 = 0.77459 \dots

= (0.77459 \dots x + 6) (0.6 x - 6)

Wandle das Element in Dezimalform um

6 = 2.44948 \dots

= (0.77459 \dots x + 2.44948 \dots) (0.6 x - 6)

0.6 = 0.77459 \dots

= (0.77459 \dots x + 2.44948 \dots) (0.77459 \dots x - 6)

Wandle das Element in Dezimalform um

6 = 2.44948 \dots

= (0.77459 \dots x + 2.44948 \dots) (0.77459 \dots x - 2.44948 \dots)

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