Question

if x²-7x+1=0 finnd x³+1/x³​

Answer 1

Answer:

The Value is 322.

Step-by-step explanation:

Given,

= x²-7x+1 = 0

= Dividing all the terms by x.

= We get,

= x-7+1/x = 0

= x+1/x = 7

= (x+1/x)² = x²+ 1/x²+2

= 7² = x²+1/x²+2

= 49-2 = x²+1/x²

= 47 = x²+1/x²

∴(x+1/x)³ = (x+1/x)[x²+1/x²-x*1/x]

= 7[47-1]

= 7*46

= 322

Hope this helps.