Question

If a+1/a=2 find the 1) a²+1/a² 2) a³+1/a³ 3) a5+1/a5​

Answer 1

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Answer 2

Answer:

2 is the answer for all the 3 questions.

Step-by-step explanation:

( a + 1 ) / a = 2

a + 1 = 2a

a = 1

1) ( a² + 1 ) / a²

= ( 1 + 1 ) / 1

= 2 / 1

a² + 1 = 2

2) a³ + 1 / a³

= ( 1 + 1 ) / 1

= 2 / 1

a³ + 1 / a³ = 2

3) a^5 + 1 / a^5​

= ( 1 + 1 ) / 1

= 2 / 1

a^5 + 1 / a^5​ = 2