Question

The equation $x-\frac{2}{x-1}=1-\frac{2}{x-1}$ has:

• A. No root
• B. One root
• C. 2 equal roots
• D. Infinite roots

Answer 1

The correct option is A No root

Option (a)

x(x - 1) - 2 = (x - 1) - 2

$x^2-x-2=x-1-2$

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

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

x = 1.

x = 1 is the only solution but it will make the denominator 0

Hence, there are no roots.