# Integer Diophantine equations solver

The equations have the following integer solutions:

**a*(s-a)=238**

(a+4)*(s-a+4) = 378

(a+4)*(s-a+4) = 378

##### a_{1}=14, s_{1}=31

a_{2}=17, s_{2}=31

**Number of solutions found: 2**

Write each equation on a new line or separate by a semicolon. Unknows are a,b,c ... z. A

**Diophantine equation**is a polynomial equation, usually in two or more unknowns, such that only the integer solutions are studied. An integer solution is a solution such that all the unknowns take integer values).

**Diophantine problems**have fewer equations than unknown variables and involve finding integers that work correctly for all equations.

## Examples of Diofant equations and problems:

ab=12

5x+7y=144

8x=27y+38

54=ab 90=bc

(((x-1)*2/3-1)*2/3-1)*2/3=y