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Beliebt Algebra >

x^3-5x^2+4x+6=0

Lösung

x^{3} - 5 x^{2} + 4 x + 6 = 0

Lösung

x = 3, x = 1 + 3, x = 1 - 3

+1

Dezimale

x = 3, x = 2.73205 \dots, x = - 0.73205 \dots

Schritte zur Lösung

x^{3} - 5 x^{2} + 4 x + 6 = 0

Faktorisiere

x^{3} - 5 x^{2} + 4 x + 6 : (x - 3) (x^{2} - 2 x - 2)

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

x - 3 = 0 : x = 3

Löse

x^{2} - 2 x - 2 = 0 : x = 1 + 3, x = 1 - 3

Die Lösungen sind

x = 3, x = 1 + 3, x = 1 - 3

Graph

Beliebte Beispiele

sqrt(3)b=9(b^3+3)

3 b = 9 (b^{3} + 3)

solvefor x,x^4+4y^2=z^2

so l v e f or x, x^{4} + 4 y^{2} = z^{2}

y^{(10)} = 0

27x^3+27x^2+9x=-1

27 x^{3} + 27 x^{2} + 9 x = - 1

6x^3+43x^2+43x+6=0

6 x^{3} + 43 x^{2} + 43 x + 6 = 0