Question

(b)If a²− 4a+ 1 = 0, find the value of (a³+ 1/a³)​

Answer 1

Answer:

=4*15=60

Step-by-step explanation:

a-1/a=4

square on both sides

(a-1/a)²=4²

a²+1/a²-2a.1/a=16

a²+1/a²-2=16

a²+1/a²=14

a³-b³=(a-b)(a²+b²+ab)

using this formula we get

a³-1/a³ = (a-1/a)(a²+1/a²+a.1/a)

=4(14+1)

=4*15=60