What 2 square numbers subtract to make 4075?

What two square numbers subtract to make 4075? In other words, when you subtract one square number from another square number, the answer is 4075. 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 = 4075

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

94² - 69² = 4075

94² is 8836 and 69² is 4761, therefore the answer to the question "What 2 square numbers subtract to make 4075?" is 8836 and 4761 as illustrated below:

8836 - 4761 = 4075

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 4075. Below we list alternate solutions if available.

168100 - 164025 = 4075

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