SOLUTION: x+1/x=5, find the value of x/x^2+x+1

Algebra.Com
Question 1036158: x+1/x=5, find the value of x/x^2+x+1
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.
x+1/x=5, find the value of x/x^2+x+1
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ 

Instead of , let us consider its reciprocal .


It is equal to     (1).


Since  = 5  (given !), we have for (1)  = 5 + 1 = 6.


Therefore,   = .


RELATED QUESTIONS

Expand (x - 1/x)^2 and find the value of x+1/x if (x-1/x)^2 =... (answered by Fombitz)
Expand (x+1/x)^2 and find the value of x+1/x if (x+1/x)^2 =... (answered by Fombitz)
If x^2 + 1/x^2 =102, find the value of x^3 -... (answered by rothauserc,ikleyn)
If x +1/x= 6, find the value of x^2... (answered by math_helper,MathTherapy)
if x + 1/x = 6, find the value of x^2 +... (answered by HEY654321,ikleyn,MathTherapy)
If x + 1/x = 4, find the value of x^2 + 1/x^2 (answered by greenestamps,ikleyn)
Find the value of x:... (answered by Fombitz)
If x-1/x =5; find the value of... (answered by ankor@dixie-net.com)
If x^2-3x+1=0. Then find the value of... (answered by josgarithmetic)