What two numbers multiply to get -72 and add to get -1?

Answer 1

Let the numbers by 'm' & 'n'

Hence

mn = -72

m + n = -1

It follows

m = -1-n

Substitute

(-1-n)N = -72

Multiply out the brackets

-n - n^(2) = -72

Hence

n^2 + n -72 = 0

It is now in quadratic form to solve for 'n'

Factor

(n + 9)(n - 8) = 0

Hence n = -9 & n = m = 8

So the two numbers are '-9' & '8' .

Answer 2

multiplying

-9x8=-72

add to get -1

-2+1=-1