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Question: How can i make assumptions for all subscript-variables with the same base?

Question:How can i make assumptions for all subscript-variables with the same base?

Kasp262e 35 Maple 2019
assuming indexed
August 28 2019
2

Hello, 

In this simple example in Maple 2019:

 

k[1] := 16;

solve(k[2]^2 = k[1], {k[2]}, useassumptions) assuming 0 < k;
 

The result of the solve is 

{k[2] = 4}, {k[2] = -4}

which is not what I'm expecting.

I'm expecting 

{k[2] = 4}

I'm trying to assume that both the variable named k[1] and the variable named k[2] are greater than 0 by assuming that 0 < k.
My goal is a way to make the same assumption for variables with the same base but different subscripts.
How can I do this?

Thanks in advance.
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