Question

34. If a4 +1/a4=194, find the values of :
(i) a +1/a
(ii) a3 +1/a3​

Answer 1

hope it helps you.........

Answer 2

(i)a+1/a=?

Explanation:

a⁴+1/a⁴=194

or,(a²)²+(1/a²)²=194

or,(a²+1/a²)²-2a²×1/a²=194

or,(a²+1/a²)²=194+2

or,a²+1/a²=14

or,(a+1/a)²-2a×1/a=14

or,(a+1/a)²=14+2

or,√(a+1/a)²=√16

or,a+1/a=4 (ans)