What 2 square numbers subtract to make 9464?

What two square numbers subtract to make 9464? In other words, when you subtract one square number from another square number, the answer is 9464. 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 = 9464

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

117² - 65² = 9464

117² is 13689 and 65² is 4225, therefore the answer to the question "What 2 square numbers subtract to make 9464?" is 13689 and 4225 as illustrated below:

13689 - 4225 = 9464

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 9464. Below we list alternate solutions if available.

33489 - 24025 = 9464
38025 - 28561 = 9464
119025 - 109561 = 9464

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