two numbers that add up to 6 and multiply to get 10

Question

the numbers are rational 

Answer 1

6 is not large enough to have any rational or irrational addends that will multiply to make 10

1+5 and 1*5=5

2+4 and 2*4=8

3+3 and 3*3=9

x+y=6

xy=10

y=10/x

x+10/x=6

x^2+10=6x

x^2-6x+10=0

[6±√(36-40)]/2

(6±2i)/2

3±i

3+i and 3-i but these are imaginary numbers