What 2 square numbers subtract to make 151?

What two square numbers subtract to make 151? In other words, when you subtract one square number from another square number, the answer is 151. 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 = 151

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

76² - 75² = 151

76² is 5776 and 75² is 5625, therefore the answer to the question "What 2 square numbers subtract to make 151?" is 5776 and 5625 as illustrated below:

5776 - 5625 = 151

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 151. Below we list alternate solutions if available.

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What 2 square numbers subtract to make 152?
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