What 2 square numbers subtract to make 9432?

What two square numbers subtract to make 9432? In other words, when you subtract one square number from another square number, the answer is 9432. 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 = 9432

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

149² - 113² = 9432

149² is 22201 and 113² is 12769, therefore the answer to the question "What 2 square numbers subtract to make 9432?" is 22201 and 12769 as illustrated below:

22201 - 12769 = 9432

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 9432. Below we list alternate solutions if available.

73441 - 64009 = 9432
159201 - 149769 = 9432
622521 - 613089 = 9432

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What 2 square numbers subtract to make 9433?
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