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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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Ai Ling Ong

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! :)

Filed Under: A-Maths Tuition, scorers mindset, Weekly Question

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  1. singaporeolevelmaths | GCE O Level A-Math E-Math Chemistry Coaching, Tuition, Tutor, Class, Revision, Notes, Tips, Concepts, Questions says:
    February 23, 2009 at 12:59 pm

    [...] missed out this workshop, I’ll be sharing in the next few posts some of the fatal mistakes (Quadratic Equations, Logarithms) you must NEVER make! Let’s get the house rules right on day 1 before we begin [...]

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