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Beliebt Algebra >

d^2j^5x^4-22x^2+8=2

Lösung

d^{2} j^{5} x^{4} - 22 x^{2} + 8 = 2

Lösung

x = \frac{11 + - 6 d ^{2} j ^{5} + 121}{d j ^{2} j}, x = - \frac{11 + - 6 d ^{2} j ^{5} + 121}{d j ^{2} j}, x = \frac{11 - - 6 d ^{2} j ^{5} + 121}{d j ^{2} j}, x = - \frac{11 - - 6 d ^{2} j ^{5} + 121}{d j ^{2} j}

Schritte zur Lösung

d^{2} j^{5} x^{4} - 22 x^{2} + 8 = 2

Verschiebe

2

auf die linke Seite

d^{2} j^{5} x^{4} - 22 x^{2} + 6 = 0

Schreibe die Gleichung um mit

u = x^{2}

und

u^{2} = x^{4}

d^{2} j^{5} u^{2} - 22 u + 6 = 0

Löse

d^{2} j^{5} u^{2} - 22 u + 6 = 0 : u = \frac{11 + - 6 d ^{2} j ^{5} + 121}{d ^{2} j ^{5}}, u = \frac{11 - - 6 d ^{2} j ^{5} + 121}{d ^{2} j ^{5}}; j \neq = 0

u = \frac{11 + - 6 d ^{2} j ^{5} + 121}{d ^{2} j ^{5}}, u = \frac{11 - - 6 d ^{2} j ^{5} + 121}{d ^{2} j ^{5}}; j \neq = 0

Setze

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

löse für

x

Löse

x^{2} = \frac{11 + - 6 d ^{2} j ^{5} + 121}{d ^{2} j ^{5}} : x = \frac{11 + - 6 d ^{2} j ^{5} + 121}{d j ^{2} j}, x = - \frac{11 + - 6 d ^{2} j ^{5} + 121}{d j ^{2} j}

Löse

x^{2} = \frac{11 - - 6 d ^{2} j ^{5} + 121}{d ^{2} j ^{5}} : x = \frac{11 - - 6 d ^{2} j ^{5} + 121}{d j ^{2} j}, x = - \frac{11 - - 6 d ^{2} j ^{5} + 121}{d j ^{2} j}

Die Lösungen sind

x = \frac{11 + - 6 d ^{2} j ^{5} + 121}{d j ^{2} j}, x = - \frac{11 + - 6 d ^{2} j ^{5} + 121}{d j ^{2} j}, x = \frac{11 - - 6 d ^{2} j ^{5} + 121}{d j ^{2} j}, x = - \frac{11 - - 6 d ^{2} j ^{5} + 121}{d j ^{2} j}

Graph

Beliebte Beispiele

solvefor x,y-5=-2x(x^4)

so l v e f or x, y - 5 = - 2 x (x^{4})

x^{3} + 8000 = 0

(x^2-5)(x+3)-x^2=15

(x^{2} - 5) (x + 3) - x^{2} = 15

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

x^{3} + 2 x - 7 = 0