Question

Solve for x: x square+1/x square=82/9
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Answer 1

Answer:

$\frac{ {x}^{2} + 1}{ {x }^{2} } = \frac{82}{9}$

$82 {x}^{2} = 9 {x}^{2} + 9$

$82 {x}^{2} - 9 {x}^{2} = 9$

$63 {x}^{2} = 9$

${x}^{2} = \frac{9}{63} = \frac{1}{7}$

$x = \sqrt{ \frac{1}{7} }$