de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Algebra >

x^5-3x^2=0

Lösung

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

Lösung

x = 0, x = 33, x = - 33 \frac{1}{2} + 33 \frac{3}{2} i, x = - 33 \frac{1}{2} - 33 \frac{3}{2} i

Schritte zur Lösung

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

Faktorisiere

x^{5} - 3 x^{2} : x^{2} (x^{3} - 3)

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x = 0 or x^{3} - 3 = 0

Löse

x^{3} - 3 = 0 : x = 33, x = - 33 \frac{1}{2} + 33 \frac{3}{2} i, x = - 33 \frac{1}{2} - 33 \frac{3}{2} i

Die Lösungen sind

x = 0, x = 33, x = - 33 \frac{1}{2} + 33 \frac{3}{2} i, x = - 33 \frac{1}{2} - 33 \frac{3}{2} i

Graph

Beliebte Beispiele

4 x^{4} + 36 = 40 x^{2}

x^4-2x^3+2x^2-2x+1=0

x^{4} - 2 x^{3} + 2 x^{2} - 2 x + 1 = 0

x^3-8x^2+17x-10=0

x^{3} - 8 x^{2} + 17 x - 10 = 0

x^3+4x^2-16x-64=0

x^{3} + 4 x^{2} - 16 x - 64 = 0

x^6-72x^3+512=0

x^{6} - 72 x^{3} + 512 = 0