What 2 square numbers subtract to make 157?

What two square numbers subtract to make 157? In other words, when you subtract one square number from another square number, the answer is 157. 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 = 157

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

79² - 78² = 157

79² is 6241 and 78² is 6084, therefore the answer to the question "What 2 square numbers subtract to make 157?" is 6241 and 6084 as illustrated below:

6241 - 6084 = 157

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 157. Below we list alternate solutions if available.

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What 2 square numbers subtract to make 158?
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