de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Algebra >

2x^8-3+5=15

Lösung

2 x^{8} - 3 + 5 = 15

Lösung

x = 4 \frac{13}{2}, x = - 4 \frac{13}{2}, x = - 4 \frac{13}{2}, x = - - 4 \frac{13}{2}, x = 8 \frac{13}{32} + i 8 \frac{13}{32}, x = - 8 \frac{13}{32} - i 8 \frac{13}{32}, x = 8 \frac{13}{32} - i 8 \frac{13}{32}, x = - 8 \frac{13}{32} + i 8 \frac{13}{32}

Schritte zur Lösung

2 x^{8} - 3 + 5 = 15

Verschiebe

3

auf die rechte Seite

2 x^{8} + 5 = 18

Verschiebe

5

auf die rechte Seite

2 x^{8} = 13

Teile beide Seiten durch

2

x^{8} = \frac{13}{2}

Schreibe die Gleichung um mit

u = x^{2}

und

u^{4} = x^{8}

u^{4} = \frac{13}{2}

Löse

u^{4} = \frac{13}{2} : u = \frac{13}{2}, u = - \frac{13}{2}, u = - \frac{13}{2}, u = - - \frac{13}{2}

u = \frac{13}{2}, u = - \frac{13}{2}, u = - \frac{13}{2}, u = - - \frac{13}{2}

Setze

u = x^{2} w i e d er e in,

löse für

x

Löse

x^{2} = \frac{13}{2} : x = 4 \frac{13}{2}, x = - 4 \frac{13}{2}

Löse

x^{2} = - \frac{13}{2} : x = - 4 \frac{13}{2}, x = - - 4 \frac{13}{2}

Löse

x^{2} = - \frac{13}{2} : x = 8 \frac{13}{32} + i 8 \frac{13}{32}, x = - 8 \frac{13}{32} - i 8 \frac{13}{32}

Löse

x^{2} = - - \frac{13}{2} : x = 8 \frac{13}{32} - i 8 \frac{13}{32}, x = - 8 \frac{13}{32} + i 8 \frac{13}{32}

Die Lösungen sind

x = 4 \frac{13}{2}, x = - 4 \frac{13}{2}, x = - 4 \frac{13}{2}, x = - - 4 \frac{13}{2}, x = 8 \frac{13}{32} + i 8 \frac{13}{32}, x = - 8 \frac{13}{32} - i 8 \frac{13}{32}, x = 8 \frac{13}{32} - i 8 \frac{13}{32}, x = - 8 \frac{13}{32} + i 8 \frac{13}{32}

Graph

Beliebte Beispiele

x^{3} x + 8 = - 4

x^3+9x^2+17x+6=0

x^{3} + 9 x^{2} + 17 x + 6 = 0

x^{6} + 16 = 0

b^{3} = 44

x^{3} + 4 x = 5