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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 getx(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
I cant understand how they factorized it and why multiplied with x^2+1 only
Thank u
hi Swap Bho,
since we need the interval of x^6 , therefore somehow we need to bring a " x^6" term in the given expression in the easiest possible way. Multiplying with x^2+1 to x^4-x^2+1 brings the expression x^6+1 using the identity a^3+b^3. hence solved in this way.
Thank you
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