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Beliebt Algebra >

25x^4-34x^2+9=0

Lösung

25 x^{4} - 34 x^{2} + 9 = 0

Lösung

x = 1, x = - 1, x = \frac{3}{5}, x = - \frac{3}{5}

+1

Dezimale

x = 1, x = - 1, x = 0.6, x = - 0.6

Schritte zur Lösung

25 x^{4} - 34 x^{2} + 9 = 0

Schreibe die Gleichung um mit

u = x^{2}

und

u^{2} = x^{4}

25 u^{2} - 34 u + 9 = 0

Löse

25 u^{2} - 34 u + 9 = 0 : u = 1, u = \frac{9}{25}

u = 1, u = \frac{9}{25}

Setze

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

löse für

x

Löse

x^{2} = 1 : x = 1, x = - 1

Löse

x^{2} = \frac{9}{25} : x = \frac{3}{5}, x = - \frac{3}{5}

Die Lösungen sind

x = 1, x = - 1, x = \frac{3}{5}, x = - \frac{3}{5}

Graph

Beliebte Beispiele

x^4-8x^3+17x^2-8x+1=0

x^{4} - 8 x^{3} + 17 x^{2} - 8 x + 1 = 0

5 x^{4} = 45 x^{2}

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

(5x-3)^2(2x+3)^3=100

(5 x - 3)^{2} (2 x + 3)^{3} = 100

3(x^2-14)(x^2+36)=0

3 (x^{2} - 14) (x^{2} + 36) = 0