Given, a + 1/a = 2, what is the value of (a118 + 1/ a117) ?
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Answer:
a+1/a = 2
a^2 + 1 =2a
a^2 -2a + 1=0
(a-1)^2=0
a-1 = 0
a=1
so a^118 + 1/a^117 = 1+1 =2
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