SOLUTION: Hello, I have two questions: 1. The sum of two numbers is 18 and the sum of their squares is 164. Find the numbers. 2. Find two numbers that total 12 and whose squares to

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Question 2376: Hello, I have two questions:
1. The sum of two numbers is 18 and the sum of their squares is 164. Find the numbers.
2. Find two numbers that total 12 and whose squares total 90.
Thx!
Answer by longjonsilver(2297) (Show Source):
You can put this solution on YOUR website!
Look at my previous answers on types of questions like these.
Here is the first one to the equation stage. You can work it our from there...
Define 2 numbers to be x and y, so we know x+y = 18 --eqn1
Also --eqn2
From 1, x=18-y. Sub this into eqn2 to give . Expand this, simplify it and solve the quadratic equation to find y then find x from equation 1.
then try the second one yourself
Jon