how would i solve x^2=x?

Answer 1

Put it into standard form and factor it:

x^2 = x

x^2 - x = 0

x(x - 1) = 0

x = 0 or x = 1

With any other solution technique, you run the risk of losing one of the answers. For instance, if you divide both sides by x, you'll get x = 1, but you'll lose x = 0.

Answer 2

X^2=x ...................eqn (1)


Then, X^2/X=1


therefore., X=1.......eqn (2)

substituting.,eqn(2) in Eqn(1)

1^2 = 1 implies 1 =1

Therefore ., X^2 = x

Answer 3

x must equal either 0 or 1, because those are the only numbers which, when squared, equal themselves.

Answer 4

x^2=x
x^2-x=0
x(x-1)=0
x=0 or 1