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Beliebt Algebra >

x^4-16x^2+63=0

Lösung

x^{4} - 16 x^{2} + 63 = 0

Lösung

x = 3, x = - 3, x = 7, x = - 7

+1

Dezimale

x = 3, x = - 3, x = 2.64575 \dots, x = - 2.64575 \dots

Schritte zur Lösung

x^{4} - 16 x^{2} + 63 = 0

Schreibe die Gleichung um mit

u = x^{2}

und

u^{2} = x^{4}

u^{2} - 16 u + 63 = 0

Löse

u^{2} - 16 u + 63 = 0 : u = 9, u = 7

u = 9, u = 7

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} = 7 : x = 7, x = - 7

Die Lösungen sind

x = 3, x = - 3, x = 7, x = - 7

Graph

Beliebte Beispiele

x^{3} - 15 x + 1 = 0

solvefor x,x^3+y^5=4

so l v e f or x, x^{3} + y^{5} = 4

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

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

m^{4} + 7 m^{2} + 6 = 0

4 x - x^{3} = 0