Rabu, 14 Januari 2009

I will explaining about squared equation. The definition of squared equation following me is equation with highest power is two and have the general form . While in the book the definition about squared equation is not far different. Content of squared equation is the highest power is two.

To searching of roots from squared equation with three method. Thas is such as in below :

  1. Abc formula is the formulate to searcing of roots with formulate such as in besides

Factoritation is have formed . Where a, and b is the roots of equation.

Perfect Square is with moving constanta c in right internode. Then in left internode add half from constanta b and c add half from constanta b.

The characteristics of squared equation there three.




To compose squared equation is divided by a so we get

. So is changed with and .is changed with

We can get formulate

Squared function is correlation from collection of real number to its self.

Procedur :

  1. Determine zero value

Zero value got from with formula , . There three possibility :

  1. D > 0 there two value zero producer.

  2. D = 0 there one value zero producer where .

  3. D <>

  1. Extreme value

changed into

Sign of are depend to , cause always positive or zero while is constant.

  1. If , so always positive or zero.

  2. If , so always negative 0r zero.

  1. Sign from

There three possibility that is

  1. , can aparted into

  2. , can aparted into

  3. , cann’t aparted

To ilustrate squared function graphic we need several procedure. That is

  1. Determine intersect with x axis

This matter got if so . There are three possibility

  1. If D > 0, the graph deduct absys in two point dan

  2. If D= 0, the graph tangent in one point in absys or

  3. If D <>

  1. Determine intersect with ordynat

This matter got if x = 0, so y=c. Intersect with ordynat is

  1. Determine symmetric axis

The formula to searching symmetric axis

  1. Determine vertex point

  1. If a > 0, paraboloid open to above

  2. If a<>

I explaining materials in above to my friend. She is Sarwendah Kusumastuti or Endah. She is my classmate. I explaining in Rektorat UNY when we finish university lecturer, at Thursday, 30 December and following my story.

30 December 2008, after finish university lecturer, I and my friend, Endah went to Rektorat UNY with walked. We walked from Faculty of MIPA about at 11 am. We walked while in a row with voice of motorcycle and car. At Thursday, the weather is enough good, is not hot and is not rainfall. Can we said cloudy. We walked about five minutes. Until there, I and Endah searching pleasant place. We walked again from Rektorat building until auditorium. We around several place in Rektorat, and we decided in under Mlanding tree. In there, every green and get grass so every nice if we saw it.

I began took a paper which is content of materials about Squared equation. And don’t forget I took empty paper and pencil. I expalained one by one, started from the definition of squared equation until make a function graphic. First, I explained the definition of squared equation. Accompany my friend, Endah that the definition of squared equation is same with me. Because have not been problem, I continue with searching of roots from squared equation, with three method. And Endah understand. Then I continue until finished and Endah understood. I’m happy because what I explained can understood my friend.

This materials is not difficult to understood. Because we have been got in Junior High School until Senior High School. Why I choose this material ? Because this material when I am still in Junior High Scholl ang Senior High School have been learned by teacher so this materials is not difficult. And I also got university lecturer in semester 1, one year ago.

I gave several exercises to Endah, because she is understand. I gave easy exercises until complex exercises.

  1. Determine roots of


Make new equation which is its roots

  1. Opposite with roots is knew

  2. Reciprocal with roots is knew

  1. Illustrate squared function graphic from

Three exercises in above can finished by Endah with well. Three exercises mentioned finisihed my explaination about squared equation. I am happy can explaining to my friend. And Endah is also happy, because she into remind again about squared equation. She said with me, that she forget its. But, my explaination can understood by her. In here I study how is into a teacher ? and this is interest experiences for me.

I feel that enough my story.




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