SOLUTION: The difference of these two positive numbers is 9. And when you add 3 in each number the product will be 120. What is the answer using quadematic equation and factoring?

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Question 1073851: The difference of these two positive numbers is 9. And when you add 3 in each number the product will be 120. What is the answer using quadematic equation and factoring?
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
system%28y-x=9%2C%28x%2B3%29%28y%2B3%29=120%29


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%28x%2B3%29%28x%2B12%29=120
x%5E2%2B15x%2B36-120=0
x%5E2%2B15x-84=0
From here, factorization to solve may not work.
84=2%2A42=3%2A28=4%2A21=6%2A14=7%2A12

General quadratic equation solution is needed.
x=%28-15%2Bsqrt%28561%29%29%2F2, approximately 4.3427
and use this to find y.