What 2 square numbers subtract to make 4055?

What two square numbers subtract to make 4055? In other words, when you subtract one square number from another square number, the answer is 4055. 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 = 4055

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

408² - 403² = 4055

408² is 166464 and 403² is 162409, therefore the answer to the question "What 2 square numbers subtract to make 4055?" is 166464 and 162409 as illustrated below:

166464 - 162409 = 4055

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 4055. Below we list alternate solutions if available.

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