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Suppose that \(x_1, x_2\) are the roots of \(x^2+ax+4, a>0 \) . Find the value of \(a\) for which \(1/(x_1^2)+1/(x_2^2)=4.\) 

 Oct 14, 2022
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The only possible value of a is sqrt(2) + 2*sqrt(6).

 Oct 14, 2022

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