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Beliebt Algebra >

9a^3+36a^2-4a-16=0

Lösung

9 a^{3} + 36 a^{2} - 4 a - 16 = 0

Lösung

a = - 4, a = - \frac{2}{3}, a = \frac{2}{3}

+1

Dezimale

a = - 4, a = - 0.66666 \dots, a = 0.66666 \dots

Schritte zur Lösung

9 a^{3} + 36 a^{2} - 4 a - 16 = 0

Faktorisiere

9 a^{3} + 36 a^{2} - 4 a - 16 : (a + 4) (3 a + 2) (3 a - 2)

(a + 4) (3 a + 2) (3 a - 2) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

a + 4 = 0 or 3 a + 2 = 0 or 3 a - 2 = 0

Löse

a + 4 = 0 : a = - 4

Löse

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

Löse

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

Die Lösungen sind

a = - 4, a = - \frac{2}{3}, a = \frac{2}{3}

Graph

Beliebte Beispiele

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

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

- m^{8} + 7 = 5

2x^5-20x^3+42x=0

2 x^{5} - 20 x^{3} + 42 x = 0

solvefor x,1x^6-5x^2=0

so l v e f or x, 1 x^{6} - 5 x^{2} = 0

16 x - 2 x^{3} = \frac{16}{3}