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Beliebt Algebra >

16n^9-25n^5=0

Lösung

16 n^{9} - 25 n^{5} = 0

Lösung

n = 0, n = \frac{5}{2} i, n = - \frac{5}{2} i, n = - \frac{5}{2}, n = \frac{5}{2}

Schritte zur Lösung

16 n^{9} - 25 n^{5} = 0

Faktorisiere

16 n^{9} - 25 n^{5} : n^{5} (4 n^{2} + 5) (2 n + 5) (2 n - 5)

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

n = 0 or 4 n^{2} + 5 = 0 or 2 n + 5 = 0 or 2 n - 5 = 0

Löse

4 n^{2} + 5 = 0 : n = \frac{5}{2} i, n = - \frac{5}{2} i

Löse

2 n + 5 = 0 : n = - \frac{5}{2}

Löse

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

Die Lösungen sind

n = 0, n = \frac{5}{2} i, n = - \frac{5}{2} i, n = - \frac{5}{2}, n = \frac{5}{2}

Graph

Beliebte Beispiele

a^{20}=asqrt(2)

a^{20} = a 2

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

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

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

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

x^4=-7x^3+16x^2+151x+230

x^{4} = - 7 x^{3} + 16 x^{2} + 151 x + 230

m^4+14m^3+54m^2+35m-6=0

m^{4} + 14 m^{3} + 54 m^{2} + 35 m - 6 = 0