I'm trying to solve a system of equations and inequalities with 5 variables but one of them is real, and the other 4 are integer. How could I tell this to Mathematica? I tried using FindInstance[eq && eq && ineq && ineq && eq, {a, b, c, d, e}, Integers]
but I don't know how to specify, let's say, e
is a real variable.
My particular case is this set of equations:
$\frac{a(a+1) + b^2(c-1)}{d(d+1) + e^2(c-1)} = 1$, $|b|\leq a$, $|e| \leq d$, $a>0$, $d>0$, $c > 0$,
where all variables are integers except from $c$ which is real.
Could you give me some hints?
Thak you!