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Regional Mathematical Olympiad 1992 1. Determine the set of integers n for which n2 + 19n + 92 is a square. 1 1 1 2. If +, where a, b, c are positive integers with no common factor, prove that a b
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How to fill out n 2 19n 92:

01
Start by understanding what the phrase "n 2 19n 92" represents. The letter "n" is likely referring to a variable or unknown value, while the numbers "2", "19", and "92" may be coefficients or constants.
02
Determine the purpose or context for filling out this expression. Are you trying to solve an equation, simplify an expression, or evaluate a formula? Understanding the purpose will guide you in the correct steps to take.
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If you are solving an equation, identify any restrictions or conditions that may be present. Consider whether there are any limitations on the possible values of "n" or if there are certain ranges or constraints to be aware of.
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Examine the expression carefully. Determine if any mathematical operations such as addition, subtraction, multiplication, or division are required. Understanding the operations will assist in systematically filling out the expression.
05
Begin by addressing any terms involving "n" squared. If there are any instances of "n^2", apply the appropriate operations or simplifications.
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Proceed to analyze the terms with a single "n". Take into account any coefficients or constants associated with these terms. Apply the required operations such as addition or subtraction, and simplify as necessary.
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Finally, address any constant terms that do not involve the variable "n". These are likely numbers, such as the given "2", "19", and "92". Again, perform any operations needed and simplify accordingly.

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