SOLUTION: (x-1/x)=5 ,then what is the value of (x^4+1/x^4)=?

Question 1128761: (x-1/x)=5 ,then what is the value of (x^4+1/x^4)=?
Answer by ikleyn(52800) (Show Source): You can put this solution on YOUR website!
.

If  

 = 5,                     (1)

then after squaring both sides


 -  +  = 25,

 - 2 +  = 25,

 +  = 25 + 2 = 27.       (2)


Now square (2) again (both sides). You will get


 +  +  = 

 +  = 

 +  = 727.     ANSWER

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    - Advanced lesson on evaluating expressions
in this site.

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The referred lessons are the part of this online textbook under the topic "Evaluation, substitution".

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Free of charge online textbook in ALGEBRA-I
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