I guess you mean the standard quadratic equation, of the form ax^2 + bx + c = 0.There are three main algebraic methods, namely:
* Factoring
* Completing the square
* Using the quadratic formula
Since you want five, here are a few more, but they are usually not very convenient to use for this particular type of equation:
* Trial and error
* Graphic the equation
* Diverse iterative methods, such as Newton's method, etc.
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1. Factoring 2. Quadratic formula
3. Plot the graph
4. Complete the square.
5. Numerical methods: "Trial and Improvement" or, for quicker results, the Newton-Raphson iteration.
By using the quadratic equation formula or by completing the square
Completing the square is one method for solving a quadratic equation. A quadratic equation can also be solved by several methods including factoring, graphing, using the square roots or the quadratic formula. Completing the square will always work when solving quadratic equations and is a good tool to have. Solving a quadratic equation by completing the square is used in a lot of word problems.I want you to follow the related link that explains the concept of completing the square clearly and gives some examples. that video is from brightstorm.
Trywww.mathsisfun.com/quadratic-equation-solver.html
It is finding the values of the variable that make the quadratic equation true.
Here are some methods you can use:* Trial and error. This works especially well if the solution is a small integer. * Factoring. You must first write the equation in such a form that you have zero on the right. * Completing the square. * Using the quadratic formula. The last two methods work in all cases. The quadratic formula is easier to work with in the general case.