**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.

(3 marks)

**Answer:**

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

SPM 2005 Paper1 Question 5

Solve the quadratic equation x(2x-5) =2x-1. Give your answer correct to three decimal places.

(3 marks)

**Answer:**

Form a quadratic equation – **SPM 2009 Paper 2 Question 2**

Form a quadratic equation –

The quadratic equation x^{2} – 5x + 6 = 0 has roots h and k, where h > k.

(a) Find

i) the value of h and of k.

ii) the range of x if x^{2} – 5x + 6 > 0

(5 marks)

(b) Using the values of h and k from 2(a)(i), form the quadratic equation which has roots h + 2 and 3k – 2.

(2 marks)

**Answer:**

a i) For x^{2 }– 5x + 6 = 0, given roots are h and k,

ii)

(b)

Determine the conditions for the type of roots

– **SPM 2010 Paper1 Question 5**

Determine the conditions for the type of roots

–

The quadratic equation (1-p)x^{2} – 6x +10 = 0, where p is a constant, has two different roots. Find the range of values of p.

(3 marks)

**Answer:**

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