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Beliebt Algebra >

8x^3+x^2-32x-4=0

Lösung

8 x^{3} + x^{2} - 32 x - 4 = 0

Lösung

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

+1

Dezimale

x = - 0.125, x = - 2, x = 2

Schritte zur Lösung

8 x^{3} + x^{2} - 32 x - 4 = 0

Faktorisiere

8 x^{3} + x^{2} - 32 x - 4 : (8 x + 1) (x + 2) (x - 2)

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

8 x + 1 = 0 : x = - \frac{1}{8}

Löse

x + 2 = 0 : x = - 2

Löse

x - 2 = 0 : x = 2

Die Lösungen sind

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

Graph

Beliebte Beispiele

solvefor x,x^3-a^2x=0

so l v e f or x, x^{3} - a^{2} x = 0

v^{5} v - 12 = 4 + 32 v

x^{3} + 10 = 45

x^2(x^2+4)(x^2+16)=100

x^{2} (x^{2} + 4) (x^{2} + 16) = 100

-x^3+4x^2+7x-10=0

- x^{3} + 4 x^{2} + 7 x - 10 = 0