Question

if x²/x=1
then, solving the equation:
x²=x
x²-x=0
x(x-1)=0
So,roots are:1,0

But how can we have 0 as the root as x²/x would be 0²/0 which is not defined as well as ≠1

Kindly explain with full logic, no spams, or wrong assumptions...
Thank you!

Answer 1

Answer:

Here x can't take the value zero as

x²/x = 1 is a rational expression and rational expressions are not defined when the denominator is equal to zero.

Here you are getting x= 0 as a answer but your initial equation is a rational expression which can't accept x = 0

Hope it helps you :)

Answer 2

Answer:

if x²/x=1

then, solving the equation:

x²=x

x²-x=0

x(x-1)=0

So,roots are:1,0

But how can we have 0 as the root as x²/x would be 0²/0 which is not defined as well as ≠1

Refer to the attachment ..