Comparing Products and Sums of Positive Integer Solutions

Very Hard Arithmetic Integers

Consider a positive integer n that satisfies the equation:

$$n^2 - 10n + 21 = 0$$

Based on the integer values of n derived from the equation, evaluate the following:

Quantity A: The product of all positive integer solutions to the equation.

Quantity B: The sum of all positive integer solutions to the equation.

Quantity A is greater than Quantity B.

Quantity A is less than Quantity B.

Quantity A is equal to Quantity B.

The relationship cannot be determined from the information given.

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