The difference of two numbers is 1. The sum of their squares is 61. Find the numbers.

Question

Quadratic Equation Word Problems

Answer 1

Your answer is 6 and 5. 

 

Here's why: 

6 - 5 = 1 

 

And 

6^2 + 5^2 =

36 + 25 = 61

 

When starting this problem, first look at the squares of all of the numbers up to 8 since 8^2=64 and that's too high. 

Once you find all of the squares, start adding the consecutive ones (numbers that are next to each other) like 3^2 + 4^2 and so on until you find 61. You want to only do consecutive numbers because that means when you subtract them their answer will be 1. Hope that helps!!