Let us assume the two unknown numbers to be "x" and "y". Then x + y = 37 And xy = - 210 x = - 210/y Now let us put the value of "x" in the first equation, we get x + y = 37 - (210/y) + y = 37 y^2 - 210 = 37y y^2 - 37y - 210 = 0 y^2 - 42y + 5y - 210 = 0 y(y - 42) + 5(y - 42) = 0 (y - 42)(y + 5) = 0 So when y - 42 = 0 y = 42 Then x = -(210/42) = - 5 Again when y + 5 = 0 y = -5 Then x = 42 So the two unknown numbers are 42 and -5. I hope the procedure is clear enough for you to understand.
