What 2 square numbers subtract to make 499?

What two square numbers subtract to make 499? In other words, when you subtract one square number from another square number, the answer is 499. 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 = 499

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

250² - 249² = 499

250² is 62500 and 249² is 62001, therefore the answer to the question "What 2 square numbers subtract to make 499?" is 62500 and 62001 as illustrated below:

62500 - 62001 = 499

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 499. Below we list alternate solutions if available.

What Two Square Numbers Subtract To Make Calculator
Enter another number here to find what two square numbers subtract to make that number.

What 2 square numbers subtract to make 500?
Go here for the next problem on our list.