ALGEBRA

posted by .

Quadratic equations can be solved by graphing, using the quadratic formula, completing the square, and factoring. What are the pros and cons of each of these methods? When might each method be most appropriate? Which method do you prefer?

  • ALGEBRA -

    By the way, as far as I am concerned, using the quadratic equation is just another way of saying "complete the square".

  • ALGEBRA -

    Quadratic formula: In my opinion, this is the most general method, and likely the best overall. It will always work, and if you memorize the formula, there is no guessing about how to apply it. The formula allows you to find real and complex solutions.
    Graphing: graphing the equation will only give valid results if the equation has real solutions. The solutions are located where the graph crosses the x axis. If the solutions are irrational or fractions with large denominators, this method will only be able to approximate the solutions. If you have a graphing calculator, this method is the quickest. If you don't have a calculator, it can be tedious and difficult to graph the equation, and you have to be very precise when you do it.
    Completing the square: This is probably the most difficult method. I find it hardest to remember how to apply this method. Since the quadratic formula was derived from this method, I don't think there is a good reason to use completing the square when you have the formula (and are allowed to use it).
    Factoring: this is probably the easiest method for solving an equation with integer solutions. If you can see how to split up the original equation into its factor pair, this is the quickest and allows you to solve the problem in one step.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math - Algebra

    A. Solve the following quadratic equations. Make sure to show all your work. Do not use any method (e.g. factoring, completing the square, quadratic formula, graphing) more than twice. Use the graphing method at least once. 1. 3x+2 …
  2. ALGEBRA--MAT 117

    Quadratic equations can be solved by graphing, using the quadratic formula, completing the square, and factoring. What are the pros and cons of each of these methods?
  3. Algebra Question

    Quadratic equations can be solved by graphing, using the quadrat completing the square, and factoring. What are the pros and cons these methods?
  4. algebra

    "Systems of equations can be solved by graphing or by using substitution or elimination. What are the pros and cons of each method?
  5. algebra

    Systems of equations can be solved by graphing or by using substitution or elimination. What are the pros and cons of each method?
  6. Algebra

    I understand that systems of equations can be solved by graphing or by using substitution or elimination. But I cannot think of any pros or cons so... What are pros and cons of each method?
  7. math 117

    Quadratic equations may be solved by graphing, using the quadratic formula, completing the square, and factoring. What are the pros and cons of each of these methods?
  8. algebra

    Quadratic equations can be solved by graphing,using the quadratic formula, completing the square, and factoring. What are the pros and cons of the methods. when would each be appropriate?
  9. Mat/117 DQ2

    Quadratic equations may be solved by graphing, using the quadratic formula, completing the square, and factoring. What are the pros and cons of each of these methods?
  10. Algebra 1

    Which method is the best method for solving the equation 8x^2-123x+3=0 square roots factoring graphing quadratic formula my answer is quadratic formula

More Similar Questions