Find 2 numbers that have a sum of 6 and a product of 10.

Question

Find two numbers with a sum of 6 and a product of 10.

Answer 1

You've described a system of equations:

x+y=6

x*y=10

 

The easiest way to solve is with substitution. If you rearrange the first equation, you'll find that y = 6-x. Substitute this into the second to get x(6-x) = 10

 

This is a quadratic equation that you should be able to solve with the quadratic formula. Be aware that the answers are complex.