Question

please tellplease tellplease tellplease tellplease tellplease tellplease tellplease tellplease tellplease tell​

Answer 1

Answer:

${( {x}^{2} + \frac{1}{ {x}^{2} } )}^{2} - 2( {x}^{2} )( \frac{1}{ {x}^{2} } ) = 47$

$( { {x}^{2} + \frac{1}{ {x}^{2} }) }^{2} = 49$

${x}^{2} + \frac{1}{ {x}^{2} } = 7$

$( {x + \frac{1}{x} )}^{2} - 2(x)( \frac{1}{x} ) = 7$

$x + \frac{1}{x} = 3$

$( {x}^{3} + { \frac{1}{x} }^{3} ) = (x + \frac{1}{x} )( {x}^{2} - (x)( \frac{1}{x} ) + { \frac{1}{x} }^{2} )$

${x}^{3} + { \frac{1}{x} }^{3} = (3)(7 - 1) = 3 \times 6 = 18$