What 2 square numbers subtract to make 1061?

What two square numbers subtract to make 1061? In other words, when you subtract one square number from another square number, the answer is 1061. 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 = 1061

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

531² - 530² = 1061

531² is 281961 and 530² is 280900, therefore the answer to the question "What 2 square numbers subtract to make 1061?" is 281961 and 280900 as illustrated below:

281961 - 280900 = 1061

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 1061. Below we list alternate solutions if available.

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