1. **State the problem:** We have the quadratic equation $$x^2 - (m + 2)x + 3 = 0$$ and one root is the additive inverse of the other. We need to find the value of $$m$$. 2. **Recall the properties of roots:** For a quadratic equation $$ax^2 + bx + c = 0$$, the sum of roots $$\alpha + \beta = -\frac{b}{a}$$ and the product of roots $$\alpha \beta = \frac{c}{a}$$. 3. **Apply the condition:** If one root is the additive inverse of the other, then $$\beta = -\alpha$$. 4. **Sum of roots:** $$\alpha + \beta = \alpha + (-\alpha) = 0$$. 5. **From the equation, sum of roots is:** $$\alpha + \beta = m + 2$$ (since $$-b/a = m + 2$$). 6. **Set sum equal to zero:** $$m + 2 = 0$$. 7. **Solve for $$m$$:** $$m = -2$$. **Final answer:** $$m = -2$$. **Answer choice:** (b) -2