Question

If x^2-2x+1=0 then x+1/x is equal to

Answer 1

Here is your answer..

Answer 2

x^2 - 2x + 1=0

find x + 1/x

x^2 - 2x + 1 =0

sum = -2

product = 1

x^2-1x-1x+1 = 0                          [because ; -1*-1 = 1 & -1+-1=-2]

x(x-1) -1(x-1)

(x-1) (x-1)

therefore x = 1

x + 1/x

= 1 + 1/1

= 1 + 1

= 2