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Beliebt Algebra >

x^4-12x^3+48x^2-73x+36=0

Lösung

x^{4} - 12 x^{3} + 48 x^{2} - 73 x + 36 = 0

Lösung

x = 1, x = 4, x = \frac{7 + 13}{2}, x = \frac{7 - 13}{2}

+1

Dezimale

x = 1, x = 4, x = 5.30277 \dots, x = 1.69722 \dots

Schritte zur Lösung

x^{4} - 12 x^{3} + 48 x^{2} - 73 x + 36 = 0

Faktorisiere

x^{4} - 12 x^{3} + 48 x^{2} - 73 x + 36 : (x - 1) (x - 4) (x^{2} - 7 x + 9)

(x - 1) (x - 4) (x^{2} - 7 x + 9) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x - 1 = 0 or x - 4 = 0 or x^{2} - 7 x + 9 = 0

Löse

x - 1 = 0 : x = 1

Löse

x - 4 = 0 : x = 4

Löse

x^{2} - 7 x + 9 = 0 : x = \frac{7 + 13}{2}, x = \frac{7 - 13}{2}

Die Lösungen sind

x = 1, x = 4, x = \frac{7 + 13}{2}, x = \frac{7 - 13}{2}

Graph

Beliebte Beispiele

0 = x^{3} - 4

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

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4 x^{3} + 16 x^{2} + 28 x = 0

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