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Beliebt Algebra >

24x^3+6x^2-24x=0

Lösung

24 x^{3} + 6 x^{2} - 24 x = 0

Lösung

x = 0, x = \frac{- 1 + 65}{8}, x = \frac{- 1 - 65}{8}

+1

Dezimale

x = 0, x = 0.88278 \dots, x = - 1.13278 \dots

Schritte zur Lösung

24 x^{3} + 6 x^{2} - 24 x = 0

Faktorisiere

24 x^{3} + 6 x^{2} - 24 x : 6 x (4 x^{2} + x - 4)

6 x (4 x^{2} + x - 4) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

4 x^{2} + x - 4 = 0 : x = \frac{- 1 + 65}{8}, x = \frac{- 1 - 65}{8}

Die Lösungen sind

x = 0, x = \frac{- 1 + 65}{8}, x = \frac{- 1 - 65}{8}

Graph

Beliebte Beispiele

x^{4} - 64 x = 0

p^{3} + 2 p + 3 = 0

solvefor x,729x^6-4096=0

so l v e f or x, 729 x^{6} - 4096 = 0

solvefor k,k^3-4k^2+k+6=0

so l v e f or k, k^{3} - 4 k^{2} + k + 6 = 0

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

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