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Beliebt Algebra >

2x^3-10x^2-3x+15=0

Lösung

2 x^{3} - 10 x^{2} - 3 x + 15 = 0

Lösung

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

+1

Dezimale

x = 5, x = - 1.22474 \dots, x = 1.22474 \dots

Schritte zur Lösung

2 x^{3} - 10 x^{2} - 3 x + 15 = 0

Faktorisiere

2 x^{3} - 10 x^{2} - 3 x + 15 : (x - 5) (2 x + 3) (2 x - 3)

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

x - 5 = 0 : x = 5

Löse

2 x + 3 = 0 : x = - \frac{3}{2}

Löse

2 x - 3 = 0 : x = \frac{3}{2}

Die Lösungen sind

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

Graph

Beliebte Beispiele

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

1398y^2-y^3-319=0

1398 y^{2} - y^{3} - 319 = 0

3 c^{3} + 6 c^{2} - 9 c = 0

3 x^{2} = x^{3}

(3v-21)(v^2+7v+10)=0

(3 v - 21) (v^{2} + 7 v + 10) = 0