Question Number 102927 by I want to learn more last updated on 11/Jul/20

If   (x/(x^2   +  x  +  1))   =  (1/4)  Find     x  +  (1/x)

Commented byI want to learn more last updated on 11/Jul/20

Thanks sir

Answered by Dwaipayan Shikari last updated on 11/Jul/20

(x/(x^2 +x+1))=(1/4)⇒(1/(x+(1/x)+1))=(1/4)⇒x+(1/x)+1=4  ⇒x+(1/x)=3

Commented byI want to learn more last updated on 11/Jul/20

Thanks sir

Answered by Rasheed.Sindhi last updated on 11/Jul/20

 (x/(x^2 +x+1))=(1/4)  ,  x+ (1/x)=?  (1/((x^2 +x+1)/x))=(1/4)  (1/(x+(1/x)+1))=(1/4)  x+(1/x)+1=4  x+(1/x)=3

Commented byI want to learn more last updated on 11/Jul/20

Thanks sir

Answered by Rasheed.Sindhi last updated on 11/Jul/20

 (x/(x^2 +x+1))= (1/4)  ((x^2 +x+1)/x)=(4/1)  x+(1/x)+1=4  x+(1/x)=3

Commented byI want to learn more last updated on 11/Jul/20

Thanks sir