How do you know which method to use when solving quadratic equations?

An equation of the form ax² + bx + c = 0, where a≠0 is called a quadratic equation.

Answer: Follow the below steps to get the desired answer. 

Explanation:

We have used four methods to solve quadratic equations:

• Factoring
• Square Root Property
• Completing the Square
• Quadratic Formula

Follow these steps in this order to choose a method for solving a quadratic equation:

1. First, try factoring the equation to solve it. Before you start factoring, make sure the equation is in regular format (ax² + bx + c = 0). This approach is very fast if the quadratic factors are simple.
2. Next, try the Square Root Property. If the equation has the form ax² = k or a(x - h)² = k, the square root property can quickly solve it. You are taking the square root of both sides of the equation to solve the equation. When you've taken the square root, remember to include a ± sign in your equation.
3. Completing the square is an excellent approach to use if the coefficient of the squared term is one and the coefficient of the linear term is even.
4. Finally, use the quadratic formula to solve the problem. The quadratic formula can be used to solve any quadratic equation.

Hence, with the help of the above steps, you can find the best method for solving a quadratic equation.