Question

What are two number that add to 2 but multiply to negative one? One or both of them may be imaginary

Answer 1

a + b = 2
a = 2 - b


ab = -1
b(2-b) = -1
-b^2+ 2b = -1
0 = b^2 - 2b -1
solve this quadratic equation to find b

Answer 2

Im solving it

Answer 3

b = 2 +/- sqrt(4-4(-1) / 2
b = \[\frac{2\pm \sqrt{8}}{2} = 1 \pm \sqrt{2}\]

Answer 4

Thank you, i understand it now, I was thinking of the wrong thing.