When you square each side of an equation, is the resulting equation equivalent to the original?

Question

anonymous · Answer

not quite
this process results in adding one more solution

for example,
x=2 
(2 is the solution)

now square :
x^2 = 4
(-2,2 are the solutions)

anonymous · Answer

(adding one more solution in the general case ofcurse)

if we had x=0 
the square thing wont change anything

anonymous · Answer

so is the answer yes?

anonymous · Answer

since it doesnt change?

anonymous · Answer

but i just showed you that it changes!

anonymous · Answer

to x=2
we get
x^2=4
and we got another solution which is not the solution to the original one

anonymous · Answer

"the square thing wont change anything" lol confusing me!

anonymous · Answer

it was just for the case of x=0
read my first comment

anonymous · Answer

thanks

anonymous · Answer

yw:)

anonymous · Answer

need more help with something else ?

anonymous · Answer

most likely yes lol just give me a moment