If a + 1/a = 2 ; find:
1) a^4+1/a^2
2) a^8 + 1/ a^4
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Answer:
1) 2
2) 2
Step-by-step explanation:
First we find the value of a:
a^2+1=2a
Splitting the middle term we get,
a=1
Now substituting a with the corresponding questions, we get
1) (1)^4 + 1/(1)^2
=1 + 1=2
2) (1)^8 + 1/(1)^4
= 1+1 = 2
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