Asked by bret
what two numbers add up to 4 and multiply to 6?
Answers
Answered by
Reiny
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
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
Answered by
bret
alright, thank you!!
Answered by
Steve
If you allow complex numbers, the two numbers are 2+√2i and 2-√2i
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.