SOLUTION: The product of two numbers is 52. The sum of the same two numbers is 10. Find the sum of the reciprocals of the two numbers.

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Question 848691: The product of two numbers is 52. The sum of the same two numbers is 10. Find the sum of the reciprocals of the two numbers.
Answer by swincher4391(1107) About Me  (Show Source):
You can put this solution on YOUR website!
x*y = 52
x+y = 10
x = 10 - y
(10-y) * y = 52
10y - y^2 = 52
y^2 - 10y + 52 = 0 Not possible.
We check the discriminant:
b^2 - 4ac = 100 -4*52 = -8 < 0.