x=3+2√2 find (x+1/x)^2
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2
Answer:
34
Step-by-step explanation:
given x=3+2√2
1 = 1
x 3+2√2
1 × 3-2√2
3+2√2 3-2√2
3-2√2 = 3-2√2 = 3-2√2
9-4×2 9-8
x+1 = 3+2√2+3-2√2= 6
x
(x+1)² = (6)²
x
x2+1 +2(x)(1/x)= 36
x²
x²+1/x2= 36-2
= 34
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