Subjects algebra

Quadratic Roots 29A253

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1. **Stating the problem:** We are given a quadratic equation and need to find its roots. 2. **Formula used:** The roots of a quadratic equation $ax^2 + bx + c = 0$ are given by the quadratic formula: $$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$ 3. **Identify coefficients:** From the equation, identify $a$, $b$, and $c$. 4. **Calculate the discriminant:** $$\Delta = b^2 - 4ac$$ 5. **Evaluate the roots:** Substitute $a$, $b$, and $c$ into the quadratic formula and simplify step-by-step. 6. **Simplify fractions:** Use \cancel{} to show any common factors canceled in numerator and denominator. 7. **Final answer:** Write the two roots clearly. This method ensures understanding of how to solve quadratic equations using the quadratic formula.