if x=(7+5*root2), then x²+1/x²=??
Answers
Answered by
1
Answer:
198
Step-by-step explanation:
x = 7+5√2
1/x = 1/(7+5√2) × (7-5√2)/(7-5√2)
= 7-5√2 / -1 = 5√2-7
x+1/x = 7+5√2 + 5√2 - 7
x+1/x = 10√2
(x+1/x)² = x² + 1/x² + 2(x)(1/x) = x²+1/x²+2
(10√2)² = x²+1/x²+2
200 = x²+1/x²+2
x²+1/x² = 198
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Answered by
1
Step-by-step explanation:
here we should add & subtract 2
then (x+1/x)-2
(x+1/x)squre -2
plz mark me tnx
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