Question 890681: The sum of the squares of two numbers is 197. The square of their difference is 83. Find the product Found 2 solutions by Alan3354, ankor@dixie-net.com:Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website! The sum of the squares of two numbers is 197. The square of their difference is 83. Find the product
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Are they integers?
The difference is , not an integer.
You can put this solution on YOUR website! The sum of the squares of two numbers is 197.
x^2 + y^2 = 197
:
The square of their difference is 83.
(x - y)^2 = 83
FOIL
x^2 - 2xy + y^2 = 83
Use elimination with the 1st equation
x^2 + 0 + y^2 = 197
x^2 - 2xy + y^2 = 83
------------------------Subtraction eliminates x^2 and y^2
2xy = 114
xy = 114/2
xy = 57 is the product
