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Beliebt Algebra >

solvefor x,x^4-9x^2-y=0

Lösung

löse nach

x, x^{4} - 9 x^{2} - y = 0

Lösung

x = \frac{9 + 81 + 4 y}{2}, x = - \frac{9 + 81 + 4 y}{2}, x = \frac{9 - 81 + 4 y}{2}, x = - \frac{9 - 81 + 4 y}{2}

Schritte zur Lösung

x^{4} - 9 x^{2} - y = 0

Schreibe die Gleichung um mit

u = x^{2}

und

u^{2} = x^{4}

u^{2} - 9 u - y = 0

Löse

u^{2} - 9 u - y = 0 : u = \frac{9 + 81 + 4 y}{2}, u = \frac{9 - 81 + 4 y}{2}

u = \frac{9 + 81 + 4 y}{2}, u = \frac{9 - 81 + 4 y}{2}

Setze

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

löse für

x

Löse

x^{2} = \frac{9 + 81 + 4 y}{2} : x = \frac{9 + 81 + 4 y}{2}, x = - \frac{9 + 81 + 4 y}{2}

Löse

x^{2} = \frac{9 - 81 + 4 y}{2} : x = \frac{9 - 81 + 4 y}{2}, x = - \frac{9 - 81 + 4 y}{2}

Die Lösungen sind

x = \frac{9 + 81 + 4 y}{2}, x = - \frac{9 + 81 + 4 y}{2}, x = \frac{9 - 81 + 4 y}{2}, x = - \frac{9 - 81 + 4 y}{2}

Graph

Beliebte Beispiele

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

2 x^{3} - 11 x = - 9

(4x^3+12x^2-1)=0

(4 x^{3} + 12 x^{2} - 1) = 0

a^6=16a^{20},a^4=10

a^{6} = 16 a^{20}, a^{4} = 10

-4x^3+16x^2-9x-9=0

- 4 x^{3} + 16 x^{2} - 9 x - 9 = 0