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Question 848059: The sum of two numbers is 18 and the sum of their squares is 164. Find the numbers.
Answer by swincher4391(1107)   (Show Source):
You can put this solution on YOUR website! x+y = 18
x^2+y^2 = 164
x = (18-y)
(18-y)^2 + y^2 = 164
324 - 36y + y^2 + y^2 =164
324 - 36y + 2y^2 = 164
2y^2 -36y + 160
2(y^2 -18y + 80)
(y-10)(y-8)
If y = 8
x+8 = 18
x = 10
If y= 10
x+10 = 18
x= 8
^ that seemed redundant, but it's entirely possible we could have had more than one pair of solutions.
Anyway, this means the numbers are 8 and 10.
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