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Beliebt Algebra >

x(x-3)(x-4)-4=0

Lösung

x (x - 3) (x - 4) - 4 = 0

Lösung

x = 2, x = \frac{5 + 17}{2}, x = \frac{5 - 17}{2}

+1

Dezimale

x = 2, x = 4.56155 \dots, x = 0.43844 \dots

Schritte zur Lösung

x (x - 3) (x - 4) - 4 = 0

Schreibe

x (x - 3) (x - 4) - 4

um:

x^{3} - 7 x^{2} + 12 x - 4

x^{3} - 7 x^{2} + 12 x - 4 = 0

Faktorisiere

x^{3} - 7 x^{2} + 12 x - 4 : (x - 2) (x^{2} - 5 x + 2)

(x - 2) (x^{2} - 5 x + 2) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x - 2 = 0 or x^{2} - 5 x + 2 = 0

Löse

x - 2 = 0 : x = 2

Löse

x^{2} - 5 x + 2 = 0 : x = \frac{5 + 17}{2}, x = \frac{5 - 17}{2}

Die Lösungen sind

x = 2, x = \frac{5 + 17}{2}, x = \frac{5 - 17}{2}

Graph

Beliebte Beispiele

x^{3} x^{2} = 4 x + 15

x^{4} + 3 x^{2} - 18 = 0

5x^3+20x^2+20x=0

5 x^{3} + 20 x^{2} + 20 x = 0

x^{5} - 5 x = - 1

x^{5} - 5 x = - 4