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Beliebt Algebra >

4x^3+12x^2+16x=0

Lösung

4 x^{3} + 12 x^{2} + 16 x = 0

Lösung

x = 0, x = - \frac{3}{2} + i \frac{7}{2}, x = - \frac{3}{2} - i \frac{7}{2}

Schritte zur Lösung

4 x^{3} + 12 x^{2} + 16 x = 0

Faktorisiere

4 x^{3} + 12 x^{2} + 16 x : 4 x (x^{2} + 3 x + 4)

4 x (x^{2} + 3 x + 4) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

x^{2} + 3 x + 4 = 0 : x = - \frac{3}{2} + i \frac{7}{2}, x = - \frac{3}{2} - i \frac{7}{2}

Die Lösungen sind

x = 0, x = - \frac{3}{2} + i \frac{7}{2}, x = - \frac{3}{2} - i \frac{7}{2}

Graph

Beliebte Beispiele

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

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

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

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

solvefor z,(a)z^4=24i-7

so l v e f or z, (a) z^{4} = 24 i - 7

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

- 1 + v^{3} = - 3