Question

If x2 -2x +1=0 then x+1/x =?

Answer 1

Answer:

The answer is x + 1/x = 1 + 1/1 = 2/1 = 2

Step-by-step explanation:

Step 1 = After factorizing x^2 - 2x + 1

The factors came (x - 1)^2

So zero of the polynomial is x - 1 = 0

                                                   x = 1

Step 2 = Substitute x = 1 in x + 1/x

That is,

= 1 + 1/1

= 2/1

= 2

Answer 2

Solution:-

=> x² - 2x + 1 = 0

by mid term splitting.

=> x² - x - x + 1 = 0

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

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

=> x - 1 = 0 or x - 1 = 0

we get x = 1 from both

=> x = 1

put x = 1 in below

=> x + 1/x

=> 1 + 1/1

=> 1 + 1

=> 2

Hence, x + 1/x = 2

i hope it helps you.