What 2 square numbers subtract to make 1525?

What two square numbers subtract to make 1525? In other words, when you subtract one square number from another square number, the answer is 1525. 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 = 1525

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

43² - 18² = 1525

43² is 1849 and 18² is 324, therefore the answer to the question "What 2 square numbers subtract to make 1525?" is 1849 and 324 as illustrated below:

1849 - 324 = 1525

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 1525. Below we list alternate solutions if available.

24025 - 22500 = 1525
582169 - 580644 = 1525

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