if X+1/X=2 find x^2019+1/x^2020=
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Answer:
Given
x+
x
1
=2
squaring on Both sides
(x+
x
1
)
2
=4
⟹x
2
+
x
2
1
+2=4
⟹x
2
+
x
2
1
=2
Hence x
2020
+
x
2020
1
=2
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