Question

If x2-2x+1=0 then x+1/x is equal to________.
A)1
B)3
C)2
D)4
say me is it 2?

Answer 1

Answer:

2

Step-by-step explanation:

x2-2x+1 = 0

x2-x-x+1 = 0

x(x-1) -1(x-1) = 0

(x-1) (x-1) = 0

=> x-1 = 0

    x = 1

x+1/x = 1+ 1/1

        = 1+1

        = 2

Answer 2

Answer:  Option 'C' is correct.

Step-by-step explanation:

Since we have given that

$x^2-2x+1=0$

We need to find the $x+\frac{1}{x}$ :

So, our equation becomes,

$x^2-2x+1=0\\\\x^2+1=2x\\\\x(x+\frac{1}{x})=2x\\\\x+\frac{1}{x}=2$

So, it becomes,

$x+\frac{1}{x}=2$

So, Option 'C' is correct.