# Question:Basic question on solve and extra solutions

## Question:Basic question on solve and extra solutions

Maple 2024

Maple gives solutions that do not satisfy the equation. Wondering what do I need to change.

```restart;
n:=3;m:=2;
eqx:=x^(n/m)=a;
maple_sol:=[PDEtools:-Solve(eqx,x)]; #also tried solve()
F:=map(X->eval(eqx,X),maple_sol);
map(X->evalb(X),F);
```

I always verified in Mathematica

Any thought what is going on and what do I need to change in my Maple code to make it give the solution x=a^(2/3) only?

It is also possible that Mathematica is the one who is skipping the two complex solutions, but then I need to verify these in Maple, and so far I can't. Only the first solution is verified by Maple.

Even simplification with assuming a>0 do not verify these two extra solution given with complex values. I also tried RealDomain package but this also had no effect. I tired assuming real also and tried simplify with symbolic option.

Anything else I should try?

Maple 2024 on windows 10

update

As I said, I tried RealDomain but with PDEtools:-Solve. With solve it works. Is this a bug? worksheet below

 > restart;

 > interface(version);

 > Physics:-Version();

 > restart;

 > n:=3;m:=2; eqx:=x^(n/m)=a; use RealDomain in (PDEtools:-Solve(eqx,x)) end use; F:=map(X->eval(eqx,X),[%]); map(X->evalb(X),F);

 > restart;

 > n:=3;m:=2; eqx:=x^(n/m)=a; use RealDomain in (solve(eqx,x)) end use; F:=map(X->eval(eqx,x=X),[%]); map(X->evalb(X),F);