SOLUTION: The sum of two positive numbers are 15 and the product is 47.5. What are the two numbers?

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Question 876798: The sum of two positive numbers are 15 and the product is 47.5. What are the two numbers?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Just translate and then solve the system.
x+y=15 and xy=47.5

y=-x%2B15.
x%28-x%2B15%29=47
-x%5E2%2B15x=47.5
x%5E2-15x%2B47.5=0
2x%5E2-30x%2B95=0
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D=(-30)^2-4*2*95=900-8*95=140=2*5*2*7
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x=%2830%2B-+sqrt%282%2A2%2A5%2A7%29%29%2F%282%2A2%29
x=%2830%2B2sqrt%2835%29%29%2F4
x=%2815%2B-+sqrt%2835%29%29%2F2
This in decimal approximation is either 4.54196 or 10.458.
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Those are the two numbers being searched. %2815-sqrt%2835%29%29%2F2 and %2815%2Bsqrt%2835%29%29%2F2.