the difference of two numbers is 3 and their product is 10 what are the two numbers??

Answer 1

This word problem wants you to create a system:

x-y=3

xy=10

Now I think the easiest way to finish this problem is to first solve for x in the second equation

x=10/y

Plug this x into the first equation and solve for y

(10/y)-y=3

10/y=3+y

10=3y+y²

0=y²+3y-10

0=(y+5)(y-2)

y=-5,2

Now plug these in and solve for x

-5x=10

x=-2

2x=10

x=5

SOLUTION: (-2,-5) and (5,2)

Answer 2

Here's another way;

x = 3 + y

y(3 + y) = 10

3y + y² = 10

y² + 3y - 10 = 0

Then you can factor, etc. per Megan's solution.