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Beliebt Algebra >

x^4+2x^3-26x^2-50x+25=0

Lösung

x^{4} + 2 x^{3} - 26 x^{2} - 50 x + 25 = 0

Lösung

x = - 5, x = 5, x = - 1 + 2, x = - 1 - 2

+1

Dezimale

x = - 5, x = 5, x = 0.41421 \dots, x = - 2.41421 \dots

Schritte zur Lösung

x^{4} + 2 x^{3} - 26 x^{2} - 50 x + 25 = 0

Faktorisiere

x^{4} + 2 x^{3} - 26 x^{2} - 50 x + 25 : (x + 5) (x - 5) (x^{2} + 2 x - 1)

(x + 5) (x - 5) (x^{2} + 2 x - 1) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x + 5 = 0 or x - 5 = 0 or x^{2} + 2 x - 1 = 0

Löse

x + 5 = 0 : x = - 5

Löse

x - 5 = 0 : x = 5

Löse

x^{2} + 2 x - 1 = 0 : x = - 1 + 2, x = - 1 - 2

Die Lösungen sind

x = - 5, x = 5, x = - 1 + 2, x = - 1 - 2

Graph

Beliebte Beispiele

x^{3} + 6 x^{2} - 7 x = 0

x^{3} = 81 x

x^{3} - 5 x = 15 x^{2}

6x^4-25x^3+12x^2+25x+6=0

6 x^{4} - 25 x^{3} + 12 x^{2} + 25 x + 6 = 0

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