Menu Close

x-2-x-2-1-1-c-x-3-c-x-3-




Question Number 192914 by ajfour last updated on 30/May/23
x^2 (x^2 −1)=(1−(c/x))^3 +((c/x))^3
x2(x21)=(1cx)3+(cx)3
Answered by a.lgnaoui last updated on 31/May/23
x^2 (x^2 −1)=(((x−c)^3 +c^3 )/x^3 )    x^5 (x^2 −1)=x^3 −3cx(x−c)   x^4 (x^2 −1)=x^2 −3c(x−c)  x^6 −x^4 =  ( x−((3c)/2))^2 +((3c^2 )/4)   [(x−((3c)/2))+((3c)/2)]^6 =[(x−((3c)/2))+((3c)/2)]^4 +(x−((3c)/2))^2 +((3c^2 )/4)  X=x−a          avec       ((3c)/2)=a    (X+a)^6 =(X+a)^4 +X^2 +((ac)/2)    (X+a)^6 −(X+a)^4 −[(X+a)−a]^2 +((ac)/2)  X+a=Z       Z^6 −Z^4 −(Z^2 −2aZ+a^2 )−((ac)/2)=0    Z^6 −Z^4 −Z^2 +2aZ−((a(2a+c))/2)  =0    soit        Z^6 −Z^4 −Z^2 +3cZ−3c^2 =0          Z=X+a=x                 x^6 −x^4 −x^2 +3c(x−c)=0  ...........
x2(x21)=(xc)3+c3x3x5(x21)=x33cx(xc)x4(x21)=x23c(xc)x6x4=(x3c2)2+3c24[(x3c2)+3c2]6=[(x3c2)+3c2]4+(x3c2)2+3c24X=xaavec3c2=a(X+a)6=(X+a)4+X2+ac2(X+a)6(X+a)4[(X+a)a]2+ac2X+a=ZZ6Z4(Z22aZ+a2)ac2=0Z6Z4Z2+2aZa(2a+c)2=0soitZ6Z4Z2+3cZ3c2=0Z=X+a=xx6x4x2+3c(xc)=0..

Leave a Reply

Your email address will not be published. Required fields are marked *