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Beliebt Algebra >

3x^4-16x^3+26x^2-16x+3=0

Lösung

3 x^{4} - 16 x^{3} + 26 x^{2} - 16 x + 3 = 0

Lösung

x = 1, x = \frac{1}{3}, x = 3

+1

Dezimale

x = 1, x = 0.33333 \dots, x = 3

Schritte zur Lösung

3 x^{4} - 16 x^{3} + 26 x^{2} - 16 x + 3 = 0

Faktorisiere

3 x^{4} - 16 x^{3} + 26 x^{2} - 16 x + 3 : (x - 1)^{2} (3 x - 1) (x - 3)

(x - 1)^{2} (3 x - 1) (x - 3) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x - 1 = 0 or 3 x - 1 = 0 or x - 3 = 0

Löse

x - 1 = 0 : x = 1

Löse

3 x - 1 = 0 : x = \frac{1}{3}

Löse

x - 3 = 0 : x = 3

Die Lösungen sind

x = 1, x = \frac{1}{3}, x = 3

Graph

Beliebte Beispiele

8 x^{4} + 20 x = 20

x^{2} x - 2 = 0

d^3+3d^2+3d+2=0

d^{3} + 3 d^{2} + 3 d + 2 = 0

3x^3+2x^2+x+1=0

3 x^{3} + 2 x^{2} + x + 1 = 0

solvefor x,x^4-y^4=581

so l v e f or x, x^{4} - y^{4} = 581