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Beliebt Algebra >

x^4-5x^3-15x^2+5x+14=0

Lösung

x^{4} - 5 x^{3} - 15 x^{2} + 5 x + 14 = 0

Lösung

x = - 1, x = 1, x = - 2, x = 7

Schritte zur Lösung

x^{4} - 5 x^{3} - 15 x^{2} + 5 x + 14 = 0

Faktorisiere

x^{4} - 5 x^{3} - 15 x^{2} + 5 x + 14 : (x + 1) (x - 1) (x + 2) (x - 7)

(x + 1) (x - 1) (x + 2) (x - 7) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x + 1 = 0 or x - 1 = 0 or x + 2 = 0 or x - 7 = 0

Löse

x + 1 = 0 : x = - 1

Löse

x - 1 = 0 : x = 1

Löse

x + 2 = 0 : x = - 2

Löse

x - 7 = 0 : x = 7

Die Lösungen sind

x = - 1, x = 1, x = - 2, x = 7

Graph

Beliebte Beispiele

solvefor x,x^3-3y^2+3y-1=0

so l v e f or x, x^{3} - 3 y^{2} + 3 y - 1 = 0

\frac{x ^{3} + 13}{2} = 20

2x^3+8x-4x-40=0

2 x^{3} + 8 x - 4 x - 40 = 0

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

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

(5xa)(bx^2)=35x^8

(5 x a) (b x^{2}) = 35 x^{8}