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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.

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The following are some ways:

  • plot the graph
  • factorise the quadratic
  • complete the squares
  • use the quadratic formula
  • iteration eg Newton-Raphson method
  • trial and improvement
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Q: What are some methods of solving quadratic equations?
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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.


What are the steps on solving equations?

The answer will depend very much on the nature of the equation. The steps required for a one-step equation are very different from the steps required for a partial differential equation. For some equations there are no straightforward analytical methods of solution: only numerical methods.


Can you give some examples of real life application of a quadratic equations?

Yes, they commonly appear in free-fall problems.


How do you simplify quadratic equations?

You can combine equivalent terms. You should strive to put the equation in the form ax2 + bx + c = 0. Once it is in this standard form, you can apply the quadratic formula, or some other method, to solve it.


What is the history of quadratic equations?

at first the first person to solve the quadratic equation is from the middle kingdom of Egypt. Greeks were also able to solve the quadratic equation but that was on the unproper way. Greeks were able to solve the quadratic equation by geometric method or equlid's method. equlid's method contains only three quadratic equation. dipohantus have also solved the quadratic equations but he have solved by giving only two roots any they both were only of positive signs.After that arbhatya also gave the two formulas for quadratic equation but the bentaguptahave only accepted only one of them after theat some of the Indian mathematican have also solved the quadratic equation who gave the proper definations and formula and in this way quadratic equation have been formed. Prabesh Regmi Kanjirowa National School