Tag Archive: discriminant

[Video] A-Math: Quadratic Equation & Discriminant (Plus Common Mistakes & Counter Measures)

Commonly asked in school and ‘O’ Level Examinations, many students also commit to commonly made mistakes. Watch the video (5 minutes) and see how you can add another 3 marks easily.

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Protected: Video Solution: GCE O Level 2008 Additional Mathematics Quadratic Equations (Subscribe and Get Password Access)

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Quadratic Equation Discriminant Proving Question

I realize many students have a challenge with presenting the solution of proving question. I am going to illustrate the correct way using the following question.

Show that y=x^2-x+\frac{3}{4} is always positive for all real values of x.

=> what is always +ve? the values of y not x ( x can be of any values)

=> The graph will not touch x-axis; it is “hanging” above the x-axis

=> No roots, hence discriminant b^2-4ac is less than 0

TIPS FOR SHOWING/PROVING QUESTION

  • Have an end in your mind. Be clear of the underlying concepts that the question is asking you to prove. Work towards that. For example, in the question, we want to prove that the discriminant b^2-4ac is less than 0. <== this is the end.
  • Sketch to have a clearer idea.

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Quadratic Equation And Discriminant

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Siginifance of Discriminant b^2-4ac : Type of Discriminant Determines The Types of Roots/Solutions ( No root, 1 real root or 2 real and distinct roots)

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