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Beliebt Algebra >

x^4-6x^3+11x^2-8x+2=0

Lösung

x^{4} - 6 x^{3} + 11 x^{2} - 8 x + 2 = 0

Lösung

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

+1

Dezimale

x = 1, x = 3.41421 \dots, x = 0.58578 \dots

Schritte zur Lösung

x^{4} - 6 x^{3} + 11 x^{2} - 8 x + 2 = 0

Faktorisiere

x^{4} - 6 x^{3} + 11 x^{2} - 8 x + 2 : (x - 1)^{2} (x^{2} - 4 x + 2)

(x - 1)^{2} (x^{2} - 4 x + 2) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x - 1 = 0 or x^{2} - 4 x + 2 = 0

Löse

x - 1 = 0 : x = 1

Löse

x^{2} - 4 x + 2 = 0 : x = 2 + 2, x = 2 - 2

Die Lösungen sind

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

Graph

Beliebte Beispiele

-10n^3-15n^4=5n^3

- 10 n^{3} - 15 n^{4} = 5 n^{3}

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x^{8} - x^{6} - 2 x^{2} + 2 = 0

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z^{4} + 27 z^{2} - 324 = 0

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