What 2 square numbers subtract to make 7429?

What two square numbers subtract to make 7429? In other words, when you subtract one square number from another square number, the answer is 7429. 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 = 7429

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

173² - 150² = 7429

173² is 29929 and 150² is 22500, therefore the answer to the question "What 2 square numbers subtract to make 7429?" is 29929 and 22500 as illustrated below:

29929 - 22500 = 7429

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 7429. Below we list alternate solutions if available.

42025 - 34596 = 7429
51529 - 44100 = 7429

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