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Beliebt Algebra >

36x^4-25x^2+4=0

Lösung

36 x^{4} - 25 x^{2} + 4 = 0

Lösung

x = \frac{2}{3}, x = - \frac{2}{3}, x = \frac{1}{2}, x = - \frac{1}{2}

+1

Dezimale

x = 0.66666 \dots, x = - 0.66666 \dots, x = 0.5, x = - 0.5

Schritte zur Lösung

36 x^{4} - 25 x^{2} + 4 = 0

Schreibe die Gleichung um mit

u = x^{2}

und

u^{2} = x^{4}

36 u^{2} - 25 u + 4 = 0

Löse

36 u^{2} - 25 u + 4 = 0 : u = \frac{4}{9}, u = \frac{1}{4}

u = \frac{4}{9}, u = \frac{1}{4}

Setze

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

löse für

x

Löse

x^{2} = \frac{4}{9} : x = \frac{2}{3}, x = - \frac{2}{3}

Löse

x^{2} = \frac{1}{4} : x = \frac{1}{2}, x = - \frac{1}{2}

Die Lösungen sind

x = \frac{2}{3}, x = - \frac{2}{3}, x = \frac{1}{2}, x = - \frac{1}{2}

Graph

Beliebte Beispiele

165 = 5 x^{3}

2 = 6 x^{5}

0=-x^3-3x^2+54x

0 = - x^{3} - 3 x^{2} + 54 x

x^{3} + 7 x - 6 = 0

- 6 + x^{3} = 0