Question

If a -1/a = 4, find the value of a2 + 1/a2 and a3 - 1/a3.

Answer 1

Answer:a -1/a=4

a²-1=4a

a²-4a-1=0

a²-2a-2a-1=0

(a-2)(a-2)=0

a=2

Sub a=2 in a²+1/a²....1

a³-1/a³...2

We have a²+1/a²=17/4

And a³+1/a³=4097/4