What adds up to 6 and multiplies to 24?

Answer 1

m + n = 6

mn = 24

Hence m = 24/n

Substitute

24/n + n = 6

Multiply through by 'n'

24 + n^2 = 6n

n^2 - 6n + 24 = -0

This does NOT factor so apply the Quadratic Equation.

n ={--6+/- sqrt[(-6)^2 - 4(1)(24)]} / 2(1)

n = {6 +/- sqrt[36 - 96]} / 2

n = {6 +/- sqrt[-60]} / 2

We now move into imaginary numbers, designated by 'i' (= sqrt(-1) .

Hence

n = {6 +/- i sqrt(60)} / 2

n = {6 +/- i(7.74596...)} / 2

n = 3 +/- 3.87298... i

Hence n = 3 + 3.87298...i & 3 - 3.87298 ... i

Answer 2

How about: -1*-3*8 = 24 and 8-3+1 = 6