1. The method to solve quadratic equations is to use the quadratic formula, factoring, or completing the square. 2. The quadratic formula is given by: $$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$ where the quadratic equation is in the form $ax^2 + bx + c = 0$. 3. Important rules: - Calculate the discriminant $\Delta = b^2 - 4ac$. - If $\Delta > 0$, there are two real solutions. - If $\Delta = 0$, there is one real solution. - If $\Delta < 0$, there are no real solutions (complex solutions). 4. Steps to solve by factoring: - Write the quadratic in standard form. - Factor the quadratic expression. - Set each factor equal to zero. - Solve for $x$. 5. Steps to solve by completing the square: - Move the constant term to the other side. - Divide all terms by $a$ if $a \neq 1$. - Add the square of half the coefficient of $x$ to both sides. - Write the left side as a perfect square. - Take the square root of both sides. - Solve for $x$. 6. For each quadratic, choose the easiest method (factoring if possible, otherwise quadratic formula). This is the general method to solve all the quadratic equations listed.