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Dec/08

11

O Level A-Math: Fatal Mistake In Quadratic Equations You Must Avoid [Includes the 'trap' & How to avoid it]

quadratic-equation-common-mistake

This was one of the tricky questions included in quadratic questions pre review (I begin every A-Math lesson with pre review so that students can ’show off’ their level of understanding in the concepts we’re going to discuss. And as I guess it, everyone falls into the ‘trap’

Reasons for students falling into the ‘trap’

  1. ” …. is always positive, oh b^2 – 4ac >0″
  2. for all real values of x, so it further supports the fact that b^2 – 4ac >0″

How to avoid falling into the trap

Understand the question clearly

  1. ” It is THE quadratic graph which is always positive “
  2. For all real values of x is NOT equal to real roots, it just means for all values of x. (No much significance in our solution)

Structure your solution carefully

  1. Draw (A picture says a thousand words)
  2. Write down the 2 conclusions
  3. List your a,b and c
  4. Solve the inequality

2008 O level A-Math Quadratic Equations are also discussed in the video here.
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About Ai Ling

Hi, my name is Ai Ling Ong and I'm a professional Math Trainer specializing in GCE 'O' level Mathematics (Additional & Elementary). More than 10 years of teaching experience, I have coached hundreds of students more than 80 schools in Singapore. Read more about me here
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