SOLUTION: The difference of 2 numbers is 18. The sum of the squares of the numbers is 164. Find the numbers.

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Question 232978: The difference of 2 numbers is 18. The sum of the squares of the numbers is 164. Find the numbers.
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
Let x be the larger number.
a) x-y=18
b) x^2+y^2=164
.
a) x=y+18
b)
(y+18)^2+y^2=164
y^2+36y+324+y^2=164
2y^2+36y+160=0
y^2+18y+80=0
(y+10)(y+8)=0
y=-10, y=-8
y=-10, x=8 or y=-8, x=10
.
Ed