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2021 April MIMC 10 Problems/Problem 10

Revision as of 23:07, 20 April 2021 by Cellsecret (talk | contribs) (Created page with "If <math>x+\frac{1}{x}=-2</math> and <math>y=\frac{1}{x^{2}}</math>, find <math>\frac{1}{x^{4}}+\frac{1}{y^{4}}</math>. <math>\textbf{(A)} ~-2 \qquad\textbf{(B)} ~-1 \qquad\t...")
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If $x+\frac{1}{x}=-2$ and $y=\frac{1}{x^{2}}$, find $\frac{1}{x^{4}}+\frac{1}{y^{4}}$.

$\textbf{(A)} ~-2 \qquad\textbf{(B)} ~-1 \qquad\textbf{(C)} ~0 \qquad\textbf{(D)} ~1 \qquad\textbf{(E)} ~2$

Solution

To be Released on April 26th.

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