homework:=proc(n)
 local k,result, old_result;
 result:=70;
 for k from 1 to n do
  old_result:=result;
  result:=2*old_result;
 end do;
return result;
end proc;

for k from 0 to 6 do
  homework(k), 70*2^k;
end do;

                                70, 70
                               140, 140
                               280, 280
                               560, 560
                              1120, 1120
                              2240, 2240
                              4480, 4480

It would make sense, if you give the exact command you used.

but cross check against the first given solution

but cross check against the first given solution

I get 16 solutions (not sure, whther that are all)

MP_six_equations.mws

I get 16 solutions (not sure, whther that are all)

MP_six_equations.mws

@dman 

No, it is not limited to rationals (but note: floats 'are' rationals),
I just prefer that in case of troubles.

But since pagan seems to have nailed it down numerically it may
be not worth to dig for the reason, why Maple asserts to find only
one solution, it 'simply' takes the very one, where both sides are 0.

@dman 

No, it is not limited to rationals (but note: floats 'are' rationals),
I just prefer that in case of troubles.

But since pagan seems to have nailed it down numerically it may
be not worth to dig for the reason, why Maple asserts to find only
one solution, it 'simply' takes the very one, where both sides are 0.

Please re-read the answers. The tasks have been re-written using rationals
to avoid numerical issues.

Using commands in your way do not go that route.

Still I miss an answer to my question.

It does not make much sense to me to look at variations, if the initial
question is not nailed down. Except you want to keep me busy ...

The very brute answer is: set Digits:= very high. But that probably will
not resolve the problem.

Please re-read the answers. The tasks have been re-written using rationals
to avoid numerical issues.

Using commands in your way do not go that route.

Still I miss an answer to my question.

It does not make much sense to me to look at variations, if the initial
question is not nailed down. Except you want to keep me busy ...

The very brute answer is: set Digits:= very high. But that probably will
not resolve the problem.

Yes, Maple says: 1 solution (note: I use z = x^2, but so what ...)

Why you are sure that there are 4 mathematical solutions?
I mean beyond any numerical issues, of course ...

Where I would not assert that Maple is right, but I want to
know, why and where it is wrong.

As alraedy said I think/guess there are numerical problems
and that is why I ask again for a formal reason.

Edited for your question: see above, a = z0 = 2659236692000,
you have to use it.

Yes, Maple says: 1 solution (note: I use z = x^2, but so what ...)

Why you are sure that there are 4 mathematical solutions?
I mean beyond any numerical issues, of course ...

Where I would not assert that Maple is right, but I want to
know, why and where it is wrong.

As alraedy said I think/guess there are numerical problems
and that is why I ask again for a formal reason.

Edited for your question: see above, a = z0 = 2659236692000,
you have to use it.

just use the given code, it gives a.

solve(blabla) and solve(blabla = 0) is understood as the same.

'RootOf' is a somewhat deeper & flexible way to write that down.

just use the given code, it gives a.

solve(blabla) and solve(blabla = 0) is understood as the same.

'RootOf' is a somewhat deeper & flexible way to write that down.

Please post as test, not as picture, otherwise one has to type
it again, possibly with errors