math
posted by Lily .
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?

math 
Count Iblis
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] 
math 
Lily
sorry, but I don't get it; how can I have two different solutiuons hen I'm only supposed to have one? Still, thanks.

math 
Count Iblis
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.

math 
Lily
oh, okay, I get it now; thanks!
Respond to this Question
Similar Questions

mathword problems with quadratics
I have 5 questions... 1) The sum of two numbers is 12. Their product is 36. Find the two numbers. 2) The sum of two numbers is 15. Their product is 100. Find the two numbers. 3) The sum of two numbers is 8. Their product is 12. … 
maths
the sum of N positive integers is 19. what is the maximum possible product of these N numbers? 
math
buy two coats for the sum of $77 the product of the purchase is $1440 what is the cost of each coat both the sum and the product must be involved 
high school (math)
Match the mathematical expression with its translation. 1. the product of two numbers 2. y divided by x 3. six less than a number is y 4. x subtracted from y 5. the sum of two numbers is six 6. x minus y 7. the sum of x and y 8. x … 
Math
What is 2 + 2? = 4 What is 2 * 2? = 4 So, the sum and the product of these two numbers is the same. Are there other numbers that have this same property? 
programming
I need a help regarding this. Compute and display the sum o 1st and 2nd number, Difference of sum and 3rd number, product of difference and 4th number, Quotient of product and 5th number using Eclipse Helios. My subject is OOP 
programming
I had to create a c code that gets a number, returns how many digits it has,the digits sum, the digits product, to check if the digits sum is equal to product if yes return "1" else return 0, and in the end write a program the prints … 
programming
write a C function which takes a natural number as argument and calculates the product of sum of its digits. A sumproduct number is natural number that equals the product of sum of its digits and the product of digits. 
maths need steve
The sum of 3 numbers is 4, the sum of their product is 5 Find the sum of their cube if the product of there number is 6 
MATH
HELP HELP The sum of the product of 16 and x and the product of 11 and y is 218. The difference of the product of 5 and x and the product of 11 and y is 134. What are the values of x and y?