What 2 square numbers subtract to make 9500?

What two square numbers subtract to make 9500? In other words, when you subtract one square number from another square number, the answer is 9500. 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 = 9500

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

120² - 70² = 9500

120² is 14400 and 70² is 4900, therefore the answer to the question "What 2 square numbers subtract to make 9500?" is 14400 and 4900 as illustrated below:

14400 - 4900 = 9500

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 9500. Below we list alternate solutions if available.

20736 - 11236 = 9500
230400 - 220900 = 9500

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