if x=2+√5 then x²+1/x² =?
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1.111111111................................
abirdas:
excuse me. can u explained that please?
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x=2+_/5
x^2=2+_/5)^2
x^2=4+5+4_/5
x^2×+1/x^2=9+4_/5 + 1/(9+4/5)
=>9+4_/5+1×(9-4_/5)/(9+4_/5)+(9-4_/5)
=>9+4_/5 + 9-4_/5/81-16×5
=>9+4_/5+9-4_/5/1
18 ois the answer
x^2=2+_/5)^2
x^2=4+5+4_/5
x^2×+1/x^2=9+4_/5 + 1/(9+4/5)
=>9+4_/5+1×(9-4_/5)/(9+4_/5)+(9-4_/5)
=>9+4_/5 + 9-4_/5/81-16×5
=>9+4_/5+9-4_/5/1
18 ois the answer
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