solve a system of equations

Hello, I have the follow equation. Then I want to find out the value of x,y and r

(x-1)^2+(y-1)^2=r ^(x-0)^2+(y-2)^2=r ^ (x-1)^2+(y-2)^2=r

how can I solve it on Matlab?

Thanks

[Bjorn Gustavsson]

Interesting equations! What have you tried to do to solve them?

Answer 1

[Alex Sha]

There are multi-solutions:

1:

x: -4.93419751895286

y: -16.1073500969731

r: 327.876127534353

2:

x: -3.55619697118012

y: -8.87946542009547

r: 118.362767827053

3:

x: -3.85130217536713

y: -10.2675663983609

r: 150.493185338195

4:

x: 1.00026181053261

y: 1.99999996572762

r: 1