How many solutions are there to: x^2-k^2=0?

Question

doc.brown · Answer

With more unknowns than equations you have infinitely many solutions.
In this case if x is 1 than k is 1
if x =2, k=2
x=n, k=n
n can mean any real number

anonymous · Answer

but why would x and k have the same value if they are different variables?

doc.brown · Answer

Good question.
If x = 2, what does k have to equal for us to minus it to get 0?

anonymous · Answer

oh! then if you say x is 2 and, let's say, k=3 and when you minus them, you get -1=0, right? So it has to be 0=0 for it to be infinate answers?

anonymous · Answer

*-1^2=0 i mean

doc.brown · Answer

Exactly.  Or you could do some algebra and add k^2 to each side, if that helps.$$x^2-k^2=0$$$$x^2-k^2+k^2=0+k^2$$$$x^2=k^2$$

anonymous · Answer

Oh I see. Well thank you so much!

anonymous · Answer

Do you think you can answer another question I have?

doc.brown · Answer

Sure. Pick a best response, close this question, and post a new question.  I will help with it.

anonymous · Answer

Ok I'll tag u :D