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Beliebt Algebra >

x^4+3x^3-7x^2+x+2=0

Lösung

x^{4} + 3 x^{3} - 7 x^{2} + x + 2 = 0

Lösung

x = 1, x = \frac{- 5 + 17}{2}, x = \frac{- 5 - 17}{2}

+1

Dezimale

x = 1, x = - 0.43844 \dots, x = - 4.56155 \dots

Schritte zur Lösung

x^{4} + 3 x^{3} - 7 x^{2} + x + 2 = 0

Faktorisiere

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

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

x - 1 = 0 : x = 1

Löse

x^{2} + 5 x + 2 = 0 : x = \frac{- 5 + 17}{2}, x = \frac{- 5 - 17}{2}

Die Lösungen sind

x = 1, x = \frac{- 5 + 17}{2}, x = \frac{- 5 - 17}{2}

Graph

Beliebte Beispiele

x^2+x+1=x^3+x^2+1

x^{2} + x + 1 = x^{3} + x^{2} + 1

x^{4} + 4 x^{2} - 5 = 0

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10x-8x^2-2x^3=0

10 x - 8 x^{2} - 2 x^{3} = 0

3 x^{4} - 48 = 0