What 2 square numbers subtract to make 1507?

What two square numbers subtract to make 1507? In other words, when you subtract one square number from another square number, the answer is 1507. 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 = 1507

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

74² - 63² = 1507

74² is 5476 and 63² is 3969, therefore the answer to the question "What 2 square numbers subtract to make 1507?" is 5476 and 3969 as illustrated below:

5476 - 3969 = 1507

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 1507. Below we list alternate solutions if available.

568516 - 567009 = 1507

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