math
posted by Lily on .
Find the two numbers that multiply to the product number and add to the sum number of the following:
a)Product 563033256; Sum 51895
b)Product 43481220; Sum 28429
c)Product 2545124358; Sum 105619
I tried xy = product and x+y = sum, but it didn't work out... Can someone please help me?

x+y = sum >
y = sum  x
product = xy = x(sumx) >
x^2  sum x + product = 0
x = sum/2 ± sqrt[(sum/2)^2  product]
There are two solutions because interchanging x and y in the solution will yield another solution. This means that you can take:
x = sum/2  sqrt[(sum/2)^2  product]
y = sum/2 + sqrt[(sum/2)^2  product] 
sorry, but I don't get it; how can I have two different solutiuons hen I'm only supposed to have one? Still, thanks.

If you have a solution and you interchange x and y then the sum and the poduct are the same, so that's another solution. This means that when we solve for x we get two solutions, the other solution bwing the value for y.

oh, okay, I get it now; thanks!