Question

if( x+1/x)=2 then the value of x5+x4+x3+x2+x+1=?​

Answer 1

Answer:

substitute the value

Step-by-step explanation:

you will get answer

Answer 2

Step-by-step explanation:

(x +(1/x)) = 2

⇒ (x2 + 1)/x = 2

⇒ x2 + 1 = 2x

  ⇒ x2 - 2x + 12 = 0

⇒ (x - 1)2 = 0 

⇒ x = 1 

(x5 + x4 + x3 + x2 + x + 1) = (15 + 14 + 13 + 12 + 1 + 1) ⇒ (x5 + x4 + x3 + x2 + x + 1) = 6

∴ (x5 + x4 + x3 + x2 + x + 1) = 6