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Beliebt Algebra >

10x^3-39x^2+29x-6=0

Lösung

10 x^{3} - 39 x^{2} + 29 x - 6 = 0

Lösung

x = 3, x = \frac{2}{5}, x = \frac{1}{2}

+1

Dezimale

x = 3, x = 0.4, x = 0.5

Schritte zur Lösung

10 x^{3} - 39 x^{2} + 29 x - 6 = 0

Faktorisiere

10 x^{3} - 39 x^{2} + 29 x - 6 : (x - 3) (5 x - 2) (2 x - 1)

(x - 3) (5 x - 2) (2 x - 1) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x - 3 = 0 or 5 x - 2 = 0 or 2 x - 1 = 0

Löse

x - 3 = 0 : x = 3

Löse

5 x - 2 = 0 : x = \frac{2}{5}

Löse

2 x - 1 = 0 : x = \frac{1}{2}

Die Lösungen sind

x = 3, x = \frac{2}{5}, x = \frac{1}{2}

Graph

Beliebte Beispiele

solvefor y,3x^3+9xy^2=5x^3

so l v e f or y, 3 x^{3} + 9 x y^{2} = 5 x^{3}

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

x^4-13x^2-12x=0

x^{4} - 13 x^{2} - 12 x = 0

x^4+24x^3+122x^2-52x+25=0

x^{4} + 24 x^{3} + 122 x^{2} - 52 x + 25 = 0

0.001x^3-2x+30=0

0.001 x^{3} - 2 x + 30 = 0