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.
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
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.
Because when your solving a quadratic equation your looking for x-intercepts which is where why equals 0 and x equals what ever the answer is.
There are several methods for solving quadratic equations, although some apply only to specific quadratic equations of specific forms. The methods include:Use of the quadratic formulaCompleting the SquareFactoringIterative methodsguessing
By using the quadratic equation formula or by completing the square
There are the following methods:quadratic formulacompleting the squaresfactorisingnumerical methods such as Newton-Raphsongraphical methods.
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.
you use the quadratic formula in math when the quadratic equation you are solving cannot be factored.
Trywww.mathsisfun.com/quadratic-equation-solver.html
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.
You can solve lineaar quadratic systems by either the elimination or the substitution methods. You can also solve them using the comparison method. Which method works best depends on which method the person solving them is comfortable with.
Because when your solving a quadratic equation your looking for x-intercepts which is where why equals 0 and x equals what ever the answer is.
Using the quadratic equation formula or completing the square
It is finding the values of the variable that make the quadratic equation true.
The quadratic formula is used all the time to solve quadratic equations, often when the factors are fractions or decimals but sometimes as the first choice of solving method. The quadratic formula is sometimes faster than completing the square or any other factoring methods. Quadratic formula find: -x-intercept -where the parabola cross the x-axis -roots -solutions