Frequently Asked Questions in SPM for Quadratic Equations
We will discuss some pass year SPM exam questions based on:
- Solve the quadratic equations – SPM 2003, SPM 2005
- Form a quadratic equation – SPM 2009
- Determine the conditions for the type of roots – SPM2010
Solve the quadratic equations – SPM 2003 Paper 1 Question 3
Solve the quadratic equation 2x(x-4) =(1-x)(x+2). Give your answer correct to four significant figures.
Note: If you have any doubt, please refer back my previous post on how to solve the equation using completing the square method.
SPM 2005 Paper1 Question 5
Solve the quadratic equation x(2x-5) =2x-1. Give your answer correct to three decimal places.
Form a quadratic equation – SPM 2009 Paper 2 Question 2
The quadratic equation x2 – 5x + 6 = 0 has roots h and k, where h > k.
i) the value of h and of k.
ii) the range of x if x2 – 5x + 6 > 0
(b) Using the values of h and k from 2(a)(i), form the quadratic equation which has roots h + 2 and 3k – 2.
a i) For x2 – 5x + 6 = 0, given roots are h and k,
Determine the conditions for the type of roots
– SPM 2010 Paper1 Question 5
The quadratic equation (1-p)x2 – 6x +10 = 0, where p is a constant, has two different roots. Find the range of values of p.