de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Algebra >

(x^2-5x+6)(x^2+5x+6)-2x^2=0

Lösung

(x^{2} - 5 x + 6) (x^{2} + 5 x + 6) - 2 x^{2} = 0

Lösung

x = 23, x = - 23, x = 3, x = - 3

+1

Dezimale

x = 3.46410 \dots, x = - 3.46410 \dots, x = 1.73205 \dots, x = - 1.73205 \dots

Schritte zur Lösung

(x^{2} - 5 x + 6) (x^{2} + 5 x + 6) - 2 x^{2} = 0

Schreibe

(x^{2} - 5 x + 6) (x^{2} + 5 x + 6) - 2 x^{2}

um:

x^{4} - 15 x^{2} + 36

x^{4} - 15 x^{2} + 36 = 0

Schreibe die Gleichung um mit

u = x^{2}

und

u^{2} = x^{4}

u^{2} - 15 u + 36 = 0

Löse

u^{2} - 15 u + 36 = 0 : u = 12, u = 3

u = 12, u = 3

Setze

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

löse für

x

Löse

x^{2} = 12 : x = 23, x = - 23

Löse

x^{2} = 3 : x = 3, x = - 3

Die Lösungen sind

x = 23, x = - 23, x = 3, x = - 3

Graph

Beliebte Beispiele

1-3t^2-3t+t^3=0

1 - 3 t^{2} - 3 t + t^{3} = 0

20x^4-5x^3-12x^2+3x=0

20 x^{4} - 5 x^{3} - 12 x^{2} + 3 x = 0

2x^3+2x^2-8x+12=0

2 x^{3} + 2 x^{2} - 8 x + 12 = 0

x^{4} + 16 = 0

n^3-3n^2+2n-336=0

n^{3} - 3 n^{2} + 2 n - 336 = 0