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Question:
If x=3+√8, then find the value of (x²+1/x²)?
Answer:
34 is your correct answer
Step by step solution:
Given that..
x = 3 + √8__________(1)
1 /x = (3 − √8) / (3)²−(√8)²
1 / x = 3 – √8 ________(2)
Now adding (1) & (2) we get…
x + 1 / x = (3 + √8 ) + ( 3 − √8 )
x + 1 / x = 6
Now,
x² + 1/x²
(x + 1/x)² – 2.x.1/x
6²–2
36–2
34
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