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There are an infinite number of pairs ... one positive and one negative ... that you can do that with.
If you stick to only whole numbers, then there are only 10 ways to do it:
- 1 x 36
- 2 x 18
- 3 x 12
- 4 x 9
- 6 x 6 .
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What two numbers add up to -72 and multiply to 1296?
The two numbers are... -36 and -36
What 2 numbers can add to get -36 and multiply and get 324?
-18 and -18
What numbers multiply to get 32 but add up to be 4?
36
What are the next two square numbers after 30?
The next two square numbers after 30 are 36 and 49
What two integers added together equal 15 but when multiplied together equal 36?
(Solving with algebra)Lets call the two numbers x and y.We want to find x and y so that x + y = 15 and xy = 36.First, solve one equation for x or y. Here we will solve the first equation for x:x = 15 - yBecause we know that 15 - y = x, we can plug it into the second equation:(15 - y)(y) = 36.Solving the above equation will give us one of the numbers:Distribute: y^2 - 15y + 36 = 0Factor: (x - 12)(x - 3) = 0We can see here that the numbers are 12 and 3 (by solving for x).The numbers in this problem are simple enough that you can use guess and check.Start at a number (1, for example), and find the other number that would add to 15. If the numbers multiply to 36, then you found the two numbers. If not, try another one.The two numbers are 12 and 3.
