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For more information, please see full course syllabus of Algebra 1
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Lecture Comments (4)

1 answer

Last reply by: Richard Gregory
Mon Sep 23, 2013 3:01 AM

Post by Taylor Wright on June 22, 2013

it just seems like a longer process to square b and then divide that number by 4. Especially when dealing with larger numbers.

if b = 24, it would be 576/4 which would require most people doing long div to come to 144.

whereas, if b = 24 and you divide 24 by 2, giving you 12 then square that giving you 144.

I understand there are hundreds of ways to do these problems, but some just seem less time consuming. Thanks!

0 answers

Post by Taylor Wright on June 22, 2013

Can't you just divide b by 2 and then square it?

0 answers

Post by Ken Mullin on January 28, 2012

Video explanations can be tough to follow--especially when intro examples use all letters instead of coefficients with numbers.

Solving Equations by Completing the Square

  • You can solve quadratic equations by taking the square root of both sides of the equation. To do this, the quadratic expression must be a perfect square.

  • Complete the square to convert a quadratic expression into a perfect square. Take one half of the coefficient of the linear term, square it, and add this value to both sides of the equation.

  • If the coefficient of the quadratic term is not 1, you must first factor this coefficient out of the quadratic and linear term and then complete the square for the new quadratic expression which now has a coefficient of 1.

Solving Equations by Completing the Square

Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.

  • Intro 0:00
  • Perfect Square Trinomials 0:22
    • Example
  • Completing the Square 3:17
    • Example
  • Solving Equations 6:12
    • Example
  • Leading Coefficient is 1 8:25
  • Lecture Example 1 10:23
  • Lecture Example 2 14:17
  • Additional Example 3
  • Additional Example 4