SOLUTION: If x +1/x= 6, find the value of x^2 +1/x^2

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Question 1118300: If x +1/x= 6, find the value of x^2 +1/x^2
Found 2 solutions by math_helper, MathTherapy:
Answer by math_helper(2461)   (Show Source): You can put this solution on YOUR website!
Ans:
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Its just a small amount of algebra and rationalization of fractions.




(*)


Considering :
Now plug in this value of x into :


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(*) Also, solves x + 1/x = 6 so that number must be plugged into x^2 + 1/x^2 to get a 2nd answer. But that answer will also be
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Good solution @MathTherapy!
Answer by MathTherapy(10551)   (Show Source): You can put this solution on YOUR website!
If x +1/x= 6, find the value of x^2 +1/x^2


 ------- Squaring both sides

 



 

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