Question

If x+1/x = 3 then find the value of x^72 + x^66 + x^54 + x^36 + x^24 + x^6 + 1

Answer 1

Solve x+1/x=3 to get x=1/2. Plug in x=1/2 into the x value of the given equation:

1/2^72+1/2^66+1/2^54+1/2^36+1/2^24+1/2^6+1

Combine the fractions to get 0.01563... +1.

Combine those to get the final answer: 1.01563...

I hope this helps :)