Quantcast
answersLogoWhite
notificationBell

Top Answer
User Avatar
Wiki User
Answered 2016-04-02 11:45:55

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.

001
๐Ÿ™๐Ÿฟ
0
๐Ÿคจ
0
๐Ÿ˜ฎ
0
๐Ÿ˜‚
0
User Avatar

User Avatar
Wiki User
Answered 2016-05-01 16:39:35

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.

001
๐Ÿ™๐Ÿฟ
0
๐Ÿคจ
0
๐Ÿ˜ฎ
0
๐Ÿ˜‚
0
User Avatar

Your Answer

Still Have Questions?

Related Questions

How many methods are there for solving quadratic equations?

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


What are methods for solving quadratic equations?

There are the following methods:quadratic formulacompleting the squaresfactorisingnumerical methods such as Newton-Raphsongraphical methods.


What are the methods use in solving quadratic equation?

By using the quadratic equation formula or by completing the square


When solving a quadratic equation by factoring what method is used?

Using the quadratic equation formula is a method of solving quadratic equations.


What is the third step in solving this equation 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.


When do you use the Quadratic Formula in math?

you use the quadratic formula in math when the quadratic equation you are solving cannot be factored.


Why does y equals 0 when solving a quadratic equation?

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.


What form is the solving for the roots of quadratic equations?

Using the quadratic equation formula or completing the square


What is the solving for the roots of quadratic equation?

It is finding the values of the variable that make the quadratic equation true.



What are some methods of solving quadratic equations?

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.


What is the quadratic formula used for?

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


When will you apply surds in real life?

You will apply them when solving quadratic equations in which the quadratic expression cannot be factorised.



Can quadratic systems be solved using elimination and substitution?

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.


How many existing methods are there in solving quadratic equations?

There are 5 existing methods in solving quadratic equations. For the first 4 methods (quadratic formula, factoring, graphing, completing the square) you can easily find them in algebra books. I would like to explain here the new one, the Diagonal Sum Method, recently presented in book titled:"New methods for solving quadratic equations and inequalities" (Trafford 2009). It directly gives the 2 roots in the form of 2 fractions, without having to factor the equation. The innovative concept of the method is finding 2 fractions knowing their Sum (-b/a) and their Product (c/a). It is very fast, convenient and is applicable whenever the given quadratic equation is factorable. In general, it is hard to tell in advance if a given quadratic equation can be factored. However, if this new method fails to find the answer, then we can conclude that the equation can not be factored, and consequently, the quadratic formula must be used. This new method can replace the trial-and-error factoring method since it is faster, more convenient, with fewer permutations and fewer trials.


What are the steps to solving a quadratic equation?

In general, there are two steps in solving a given quadratic equation in standard form ax^2 + bx + c = 0. If a = 1, the process is much simpler. The first step is making sure that the equation can be factored? How? In general, it is hard to know in advance if a quadratic equation is factorable. I suggest that you use first the new Diagonal Sum Method to solve the equation. It is fast and convenient and can directly give the 2 roots in the form of 2 fractions. without having to factor the equation. If this method fails, then you can conclude that the equation is not factorable, and consequently, the quadratic formula must be used. See book titled:" New methods for solving quadratic equations and inequalities" (Trafford Publishing 2009) The second step is solving the equation by the quadratic formula. This book also introduces a new improved quadratic formula, that is easier to remember by relating the formula to the x-intercepts with the parabola graph of the quadratic function.


Can all quadratics be solved by completing the square?

Completing the square is one method for solving a quadratic equation. A quadratic equation can also be solved by factoring, using the square roots or quadratic formula. Solving quadratic equations by completing the square will always work when solving quadratic equations-You can also use division or even simply take a GCF, set the quantities( ) equal to zero, and subtract or add to solve for the variable


How do you solve imaginary equations?

The answer depends on the nature of the equation. Just as there are different ways of solving a linear equation with a real solution and a quadratic equation with real solutions, and other kinds of equations, there are different methods for solving different kinds of imaginary equations.


When must the quadratic formula be used in algebra?

You'll typically use it when solving a quadratic equation - when factoring isn't obvious.


What are the four steps for solving a quadratic equation?

The 1st step would have been to show a particular quadratic equation in question.




Two consecutive numbers product is 182.Find them.?

Either use trial and error, or the quadratic formula, solving the following for x: x(x+1)=182Either use trial and error, or the quadratic formula, solving the following for x: x(x+1)=182Either use trial and error, or the quadratic formula, solving the following for x: x(x+1)=182Either use trial and error, or the quadratic formula, solving the following for x: x(x+1)=182


How do you solve quadratic functions step by step?

There are different methods of using quadratic functions depending on the equation.


Still have questions?

Trending Questions
What times 10 equals to 1000? Asked By Wiki User
How old is Danielle cohn? Asked By Wiki User
Previously Viewed
Unanswered Questions