Question

if a²+1/a²=14, find a³+1/a³​

Answer 1

Answer:

a³+1/a³

=(a+1/a)³-3*a*1/a(a+1/a)

=(4)³-3*1*4

=64-12

=52

Step-by-step explanation:

a²+1/a²=14

or, (a+1/a)²-2*a*1/a=14

or, (a+1/a)²=14+2=16

or, (a+1/a)=4

Answer 2

Answer:

i)(a+1/a)² = 14

a²+1/a²+ 2×2×1/2

14+2=16

a+1/a =_+ 4

ii) a³+1/a³

(a+1/a)

(a²+1/a²) (a²+1/a²-a×1/a)

+_4(14-1)

+_4×13

+_52

Step-by-step explanation:

Hope this helps you