1. The problem asks to solve a quadratic equation using the sum and product of roots method. 2. Suppose the quadratic equation is $ax^2 + bx + c = 0$. 3. The sum of roots $\alpha$ and $\beta$ is given by $\alpha + \beta = -\frac{b}{a}$. 4. The product of roots is $\alpha \beta = \frac{c}{a}$. 5. Identify $a$, $b$, and $c$ from your specific quadratic equation. 6. Use the sum and product relations to find $\alpha$ and $\beta$. 7. From $\alpha + \beta = S$ and $\alpha \beta = P$, the roots satisfy $x^2 - Sx + P = 0$. 8. You can find $\alpha$ and $\beta$ by solving this quadratic, or factor it if possible. 9. This method avoids directly using the quadratic formula. 10. Provide the specific equation for precise roots calculation.