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Beliebt Algebra >

x^4+8x^3+17x^2-2x-24=0

Lösung

x^{4} + 8 x^{3} + 17 x^{2} - 2 x - 24 = 0

Lösung

x = 1, x = - 2, x = - 3, x = - 4

Schritte zur Lösung

x^{4} + 8 x^{3} + 17 x^{2} - 2 x - 24 = 0

Faktorisiere

x^{4} + 8 x^{3} + 17 x^{2} - 2 x - 24 : (x - 1) (x + 2) (x + 3) (x + 4)

(x - 1) (x + 2) (x + 3) (x + 4) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x - 1 = 0 or x + 2 = 0 or x + 3 = 0 or x + 4 = 0

Löse

x - 1 = 0 : x = 1

Löse

x + 2 = 0 : x = - 2

Löse

x + 3 = 0 : x = - 3

Löse

x + 4 = 0 : x = - 4

Die Lösungen sind

x = 1, x = - 2, x = - 3, x = - 4

Graph

Beliebte Beispiele

3 m^{3} - 12 m = 0

((35x-50))/5 =2x^{15}

\frac{( 35 x - 50 )}{5} = 2 x^{15}

-y^3+5y^2-7y+3=0

- y^{3} + 5 y^{2} - 7 y + 3 = 0

3 x^{3} + x - 1 = 0

solvefor x,f=4x^3+2

so l v e f or x, f = 4 x^{3} + 2