What are 2 numbers that have the sum of 16 and the product of 36?

Answer 1

8+2*sqrt(7) (about 13.2915026) and 8-2*sqrt(7) (about 2.70849738).

You can fin this by setting up a system of equations. Let's use x and y for our numbers. The problem tells us that their product is 36 (x*y=36) and that their sum is 16 (x+y=16). Since we have two variables and two equations, we can solve it.

First we take one of the equations and put one variable in terms of another. For example, we can take x+y=16 and get y=16-x. We then plug this in for y in the first equation:

x*y=36

x*(16-x)=36

16x-x2=36

x2-16x+36=0

We can now use the quadratic formula:

x=(16+/-sqrt((-16)2-(4*1*36))/(2*1)

and you solve that to get the above answer.