SOLUTION: If {{{x + 1/x = 3,}}} evaluate {{{x^2 + 1/x^2}}}

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Question 1161294: If x+%2B+1%2Fx+=+3%2C evaluate x%5E2+%2B+1%2Fx%5E2
Answer by ikleyn(52777) About Me  (Show Source):
You can put this solution on YOUR website!
.


x + 1%2Fx = 3


Square both sides to get


x%5E2 + 2 + 1%2Fx%5E2 = 9


It implies


x%5E2 + 1%2Fx%5E2 = 7.     ANSWER

Solved.