indeed89 indeed89

08-06-2021
Mathematics

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if x=√10 - 2 √2 find x^2 + 1/x^2

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S0APyBoi S0APyBoi

08-06-2021

You already know what x is so just substitute in.
x^2 + 1/x^2
= (√10 - 2√2)^2 + 1/(√10 - 2√2)^2

= (18 - 8√5) + 1/(18 - 8√5)

= (45-12√5)/2

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