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Beliebt Algebra >

15x^3-119x^2-10x+16=0

Lösung

15 x^{3} - 119 x^{2} - 10 x + 16 = 0

Lösung

x = 8, x = \frac{1}{3}, x = - \frac{2}{5}

+1

Dezimale

x = 8, x = 0.33333 \dots, x = - 0.4

Schritte zur Lösung

15 x^{3} - 119 x^{2} - 10 x + 16 = 0

Faktorisiere

15 x^{3} - 119 x^{2} - 10 x + 16 : (x - 8) (3 x - 1) (5 x + 2)

(x - 8) (3 x - 1) (5 x + 2) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x - 8 = 0 or 3 x - 1 = 0 or 5 x + 2 = 0

Löse

x - 8 = 0 : x = 8

Löse

3 x - 1 = 0 : x = \frac{1}{3}

Löse

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

Die Lösungen sind

x = 8, x = \frac{1}{3}, x = - \frac{2}{5}

Graph

Beliebte Beispiele

x^4+2x^3-4x^2-2x+3=0

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

0 = x^{3} + 1

0 = x^{3} + 2

0 = x^{3} - 1

x^4+13x^3+42x^2=0

x^{4} + 13 x^{3} + 42 x^{2} = 0