what two numbers add up to 4 and multiply to 6?

3 answers

x+y=4 or y = 4-x , and
xy=6

sub in the first part
x(4-x) = 6
4x - x^2 - 6 = 0
x^2 - 4x + 6 = 0
x = (4 ± √-8)/2 = 2 ± √2

If you are dealing with real numbers, there are no numbers to fit your condition.

If you allow complex numbers, the two numbers are 2+√2 and 2-√2
alright, thank you!!
If you allow complex numbers, the two numbers are 2+√2i and 2-√2i