SOLUTION: If x + 1/x = 4, find the value of x^2 + 1/x^2

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Question 1125742: If x + 1/x = 4, find the value of x^2 + 1/x^2
Found 2 solutions by greenestamps, ikleyn:
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


Discover the method for solving this kind of problem on your own:

Square the given equation and see where that leads you....

x%2B1%2Fx+=+4
%28x%2B1%2Fx%29%5E2+=+16

Expand the expression on the left.

Then see if you can see how to finish the problem.

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
For many other similar solved problems see the lessons
    - HOW TO evaluate expressions involving  %28x+%2B+1%2Fx%29,  %28x%5E2%2B1%2Fx%5E2%29  and  %28x%5E3%2B1%2Fx%5E3%29
    - Advanced lesson on evaluating expressions
in this site.

Also,  you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

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


Save the link to this online textbook together with its description

Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson

to your archive and use it when it is needed.