Question 230473: Sherlock Hemlock thought of two numbers. Their sum was 20 and the sum of their squares was 300. What was their product? Found 2 solutions by checkley77, solver91311:Answer by checkley77(12844) (Show Source):
You can put this solution on YOUR website! Their sum was 20 and the sum of their squares was 300.
What was their product?
x^2+y^2=300
x+y=20 square both sides of this equation.
x^2+2xy^y^2=400 now subtract the first equation
-(x^2+y^2=300)
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2xy=100
xy=100/2
xy=50 ans.
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