Question

If x= 3-root8 find the value of (x^2+1/x^2)​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

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$x = 3 - \sqrt{8}$

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

$( {3 - \sqrt{8}) }^{2} + \frac{1}{ ({3 - \sqrt{8}) }^{2} }$

$(9 + 8 - 6 \sqrt{8} + \frac{1}{9 + 8 - 6 \sqrt{8} } )$

$(17 - 6 \sqrt{8} + \frac{1}{17 - 6 \sqrt{8} } )$

$\frac{(17 - 6 \sqrt{8})(17 - 6\sqrt{8}) + 1 }{17 - 6 \sqrt{8} }$

$\frac{17(17 - 6 \sqrt{8}) - 6\sqrt{8} (17 - 6 \sqrt{8}) }{17 - 6 \sqrt{8} }$

$\frac{289 - 102 \sqrt{8} - 102 \sqrt{8} + 288 + 1 }{17 - 6 \sqrt{8} }$