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Beliebt Algebra >

x^4-10x^2+16=0

Lösung

x^{4} - 10 x^{2} + 16 = 0

Lösung

x = 22, x = - 22, x = 2, x = - 2

+1

Dezimale

x = 2.82842 \dots, x = - 2.82842 \dots, x = 1.41421 \dots, x = - 1.41421 \dots

Schritte zur Lösung

x^{4} - 10 x^{2} + 16 = 0

Schreibe die Gleichung um mit

u = x^{2}

und

u^{2} = x^{4}

u^{2} - 10 u + 16 = 0

Löse

u^{2} - 10 u + 16 = 0 : u = 8, u = 2

u = 8, u = 2

Setze

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

löse für

x

Löse

x^{2} = 8 : x = 22, x = - 22

Löse

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

Die Lösungen sind

x = 22, x = - 22, x = 2, x = - 2

Graph

Beliebte Beispiele

2x^4-2^{1/2}x^3-32x^2+8*2^{1/2}x+128=0

2 x^{4} - 2^{\frac{1}{2}} x^{3} - 32 x^{2} + 8 \cdot 2^{\frac{1}{2}} x + 128 = 0

(x-6)^4(x-8)^4=272

(x - 6)^{4} (x - 8)^{4} = 272

solvefor x,b=(3y+2x)^5

so l v e f or x, b = (3 y + 2 x)^{5}

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

((5x-1)^3)/(2^4)=4^1

\frac{( 5 x - 1 ) ^{3}}{2 ^{4}} = 4^{1}