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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Hi, I'm Ai Ling Ong. I enjoy coaching students who have challenges with understanding and scoring in 'O' Level A-Maths and E-Maths. I develop Math strategies, sometimes ridiculous ideas to help students in understanding abstract concepts the fast and memorable way. I write this blog to share with you the stuff I teach in my class, the common mistakes my students made, the 'way' to think, analyze... If you have found this blog post useful, please share it with your friends. I will really appreciate it! :)

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