SOLUTION: Find two positive numbers whose sum is 121 and product is 3528 First number= Second number=

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Question 977847: Find two positive numbers whose sum is 121 and product is 3528
First number=
Second number=
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Find x and y so that x+y=s and xy=p for some constants s and p.
s is for sum and p is for product. Your example uses s=121 and p=3528.

y=s-x;
-
x%28s-x%29=p
sx-x%5E2=p
-x%5E2%2Bsx-p=0
x%5E2-sx%2Bp=0

You may expect that the quadratic left side is factorable, although possibly difficult to find. You still can use general formula for the solution.

highlight%28x=%28s%2B-+sqrt%28s%5E2-4%2Ap%29%29%2F2%29, and you need the positive value for x. Use it to find y.