for what value of x {x=x^2;x belongs to R} for that your answer is We have, x 2 = - Maths - Sets

Question

for what value of x {x=x^2;x belongs to R}
for that your answer is
We have, x 2 =
x ⇒ x 2
- x = 0 ⇒ x
( x - 1) = 0 ⇒ x
= 0 or 1
So there are two values of x that is 0 and 1 as both of
them belongs to R
What if we take 1=x/x^2 and if we substitute x=0 then it becomes
1/0 which is undefined
Please explain why x=0

Varun.Rawat · Accepted Answer

The equation x2 = x is considered
as an quadratic equation, which is simplified by the method given
below
x2 = x â‡’
x2 - x = 0 â‡’
x (x - 1) = 0 â‡’ x =
0 or x = 1