Chinese Middle School Math Olympiad. Find x^4+x^(-4) from quadratic equation | Olympiad Mathematics

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This is a mathematical olympiad question for middle school. How to evaluate the value of x^4+x^(-4) from a quadratic equation? In this video, we'll discuss an efficient way to solve this problem.

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The following looks more straightforward to me: Divide the quadratic eq by x, find 1+1/x=3. Square this once, find x^2+1/x^2=7. Square once more, get 47.

siguc
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Great practice question for math olympiad

jameswayne