Ask questions and get helpful responses.

Algebra Quadratic Equations

What are the pros and cons of completing the square as a way to solve quadradic equations?

  1. 👍
  2. 👎
  3. 👁
  4. ℹ️
  5. 🚩
  1. Completing the square is not the easiest way to solve quadratic equations; its strength lies in the fact that the process is repetitive and predictable.

    Here is the best news: completing the square ALWAYS (SAY ALWAYS) will work, unlike the factoring method, which of course, requires that the trinomial be factorable.

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
  2. I find the quadratic equation
    x = [-b +/- sqrt(b^2-4ac)]/2a
    the easiest to use, unless a way of factoring is obvious. It is derived by completing the square, after all. It tells you the number of real roots right away (from the value of b^2 - 4ac). The hard part is memorizing it, but after a while it becomes routine.

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
  3. I use the following rule:
    If the coefficient of the squared term is 1 and the coefficient of the first degree term is even, then I would use completing the square, otherwise just use the quadratic formula

    e.g.

    x^2 - 12x -5 = 0
    x^2 - 12x = 5
    x^2 - 12x + 36 = -5 + 36
    (x-6)^2 = 31

    x = 6 ± √31

    In this case this method is actually faster and easier than using the formula, since the formula answer has to be broken down to lowest terms.

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
  4. Thank you.

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
  5. Cool rule, thank you.

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
  6. Thank you for the example.

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩

Respond to this Question

First Name

Your Response

Still need help? You can ask a new question.