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Beliebt Algebra >

9x^2(x+5)-4(x+5)=0

Lösung

9 x^{2} (x + 5) - 4 (x + 5) = 0

Lösung

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

+1

Dezimale

x = - 5, x = - 0.66666 \dots, x = 0.66666 \dots

Schritte zur Lösung

9 x^{2} (x + 5) - 4 (x + 5) = 0

Faktorisiere

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

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

x + 5 = 0 : x = - 5

Löse

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

Löse

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

Die Lösungen sind

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

Graph

Beliebte Beispiele

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

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

x^3+11x^2+10x=0

x^{3} + 11 x^{2} + 10 x = 0

15t^3-15t^2+20t=5t

15 t^{3} - 15 t^{2} + 20 t = 5 t

solvefor x,x^3+y^3=16

so l v e f or x, x^{3} + y^{3} = 16

(x - 3)^{3} = 8