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Beliebt Algebra >

2x^3+7x^2-12x-42=0

Lösung

2 x^{3} + 7 x^{2} - 12 x - 42 = 0

Lösung

x = - \frac{7}{2}, x = - 6, x = 6

+1

Dezimale

x = - 3.5, x = - 2.44948 \dots, x = 2.44948 \dots

Schritte zur Lösung

2 x^{3} + 7 x^{2} - 12 x - 42 = 0

Faktorisiere

2 x^{3} + 7 x^{2} - 12 x - 42 : (2 x + 7) (x + 6) (x - 6)

(2 x + 7) (x + 6) (x - 6) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

2 x + 7 = 0 or x + 6 = 0 or x - 6 = 0

Löse

2 x + 7 = 0 : x = - \frac{7}{2}

Löse

x + 6 = 0 : x = - 6

Löse

x - 6 = 0 : x = 6

Die Lösungen sind

x = - \frac{7}{2}, x = - 6, x = 6

Graph

Beliebte Beispiele

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

solvefor x,x^3+y^3=126

so l v e f or x, x^{3} + y^{3} = 126

x^{3} = - 10

x^{3} = - 15

x^{4} = 5