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# Find all real numbers Watch

1. The question is, find all real numbers x, y and z which satisfy the simulataneous equations

I got x = 1, y = 2 and z = 3, are those the only solutions?

Thanks.
2. (Original post by 0x2a)
The question is, find all real numbers x, y and z which satisfy the simulataneous equations

I got x = 1, y = 2 and z = 3, are those the only solutions?

Thanks.
http://www.wolframalpha.com/input/?i...over+the+reals
3. I forgot the ultimate cheating machine.

Thank you.
4. Yep.

add all of these equations to each other, and factorise (completing the square) and you get:

(a single point)
5. (Original post by Hasufel)
Yep.

add all of these equations to each other, and factorise (completing the square) and you get:

(a single point)
Is that a sphere then?
6. (Original post by keromedic)
Is that a sphere then?
The equation is in the form which gives a sphere, but it's radius is 0.
7. (Original post by 0x2a)
The equation is in the form which gives a sphere, but it's radius is 0.
Does that make it a sphere in the complex plane?
8. (Original post by keromedic)
Does that make it a sphere in the complex plane?
The z is only used here as another "axis" along with the x and the y. A shape of the form would appear in , unless you're explicitly dealing with complex numbers.
9. (Original post by keromedic)
Does that make it a sphere in the complex plane?
It makes it a point.

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