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Beliebt Algebra >

x^4-10x^2+24=0

Lösung

x^{4} - 10 x^{2} + 24 = 0

Lösung

x = 6, x = - 6, x = 2, x = - 2

+1

Dezimale

x = 2.44948 \dots, x = - 2.44948 \dots, x = 2, x = - 2

Schritte zur Lösung

x^{4} - 10 x^{2} + 24 = 0

Schreibe die Gleichung um mit

u = x^{2}

und

u^{2} = x^{4}

u^{2} - 10 u + 24 = 0

Löse

u^{2} - 10 u + 24 = 0 : u = 6, u = 4

u = 6, u = 4

Setze

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

löse für

x

Löse

x^{2} = 6 : x = 6, x = - 6

Löse

x^{2} = 4 : x = 2, x = - 2

Die Lösungen sind

x = 6, x = - 6, x = 2, x = - 2

Graph

Beliebte Beispiele

-x^3+8x^2-20x+16=0

- x^{3} + 8 x^{2} - 20 x + 16 = 0

x(x+1)(x+3)=2(x+3)

x (x + 1) (x + 3) = 2 (x + 3)

16x^4+24x^2+9=0

16 x^{4} + 24 x^{2} + 9 = 0

w^3=-2-2sqrt(3)i

w^{3} = - 2 - 23 i

solvefor r,v= 4/3 pir^3

so l v e f or r, v = \frac{4}{3} π r^{3}