What 2 square numbers subtract to make 7579?

What two square numbers subtract to make 7579? In other words, when you subtract one square number from another square number, the answer is 7579. What are the two square numbers?

First, note that a square number is what you get when you multiply a number by itself, which means that the square root of a square number will equal a whole number. Thus, this is what we are solving:

A² - B² = 7579

We solved the equation above and found this to be true:

98² - 45² = 7579

98² is 9604 and 45² is 2025, therefore the answer to the question "What 2 square numbers subtract to make 7579?" is 9604 and 2025 as illustrated below:

9604 - 2025 = 7579

Note that there may be more than one solution to a problem like this. Above, we found the lowest combination of square numbers that subtract to 7579. Below we list alternate solutions if available.

88804 - 81225 = 7579
122500 - 114921 = 7579

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