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If x=√10 - 2 √2 find x^2 + 1/x^2​
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2 votes
If x=√10 - 2 √2 find x^2 + 1/x^2​

User Popstr
by
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1 Answer

2 votes
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
User El Toro Bauldo
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