Find two numbers that have a product of 500 and a difference of 5
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Answer:
25 and 20
Step-by-step explanation:
Let the numbers be x and y
xy = 500 .............(1)
x - y = 5
x = 5 + y ...............(2)
Place 2 in 1
xy = 500
(5 + y) y = 500
5y + y² = 500
y² + 5y - 500 = 0
y = 20
x = 25
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