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Beliebt Algebra >

4x^4-37x^2+9=0

Lösung

4 x^{4} - 37 x^{2} + 9 = 0

Lösung

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

+1

Dezimale

x = 3, x = - 3, x = 0.5, x = - 0.5

Schritte zur Lösung

4 x^{4} - 37 x^{2} + 9 = 0

Schreibe die Gleichung um mit

u = x^{2}

und

u^{2} = x^{4}

4 u^{2} - 37 u + 9 = 0

Löse

4 u^{2} - 37 u + 9 = 0 : u = 9, u = \frac{1}{4}

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

Setze

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

löse für

x

Löse

x^{2} = 9 : x = 3, x = - 3

Löse

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

Die Lösungen sind

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

Graph

Beliebte Beispiele

27 x^{3} - 343 = 0

(2x-5)(3x^2+7x-6)=0

(2 x - 5) (3 x^{2} + 7 x - 6) = 0

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

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

54 = a^{4}

(7^{2})^{4} = n^{8}