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icystrike
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[tex]3\times2^{m}+1=n^{2}[/tex]
For some positive integers m and n.
For some positive integers m and n.
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This phrase indicates that there are multiple values for both n and m that can satisfy a given condition or equation.
The solutions of n and m can be determined by solving the equation using algebraic methods such as substitution, elimination, or graphing.
Yes, there can be multiple solutions for n and m that satisfy an equation. This is often the case for equations with more than one variable.
No, not all solutions of n and m that satisfy an equation are valid. Some solutions may result in impossible or nonsensical values, and these are considered extraneous solutions.
The solutions of n and m can be verified by plugging them back into the original equation and checking if the resulting values are true. This process is called substitution.