Ques. If x^5-x^3+x=2 then x^6 belongs to
Soln. x(x^4-x^2+1)=2,
multiplying by x^2+1 we get
x(x^6+1)=2(x^2+1)
=>x^6+1=2(x+1/x)>=4
so x^6 belongs to 3<=x
I cant understand how they factorized it and why multiplied with x^2+1 only
Thank u
Ques. If x^5-x^3+x=2 then x^6 belongs to
Soln. x(x^4-x^2+1)=2,
multiplying by x^2+1 we get
x(x^6+1)=2(x^2+1)
=>x^6+1=2(x+1/x)>=4
so x^6 belongs to 3<=x
I cant understand how they factorized it and why multiplied with x^2+1 only
Thank u