2008

2007

2006

2005

TOPICQUADRATIC EQUATIONS

LEARNING OBJECTIVES

•Understand the concept of quadratic equations

and their roots

•Understand and use the conditions for quadratic

equations to have a)two different rootsb)two equal rootsc)no roots

2008

Answers

3marks

It is given that -1 is one of the roots of the quadratic equation

x2 – 4x – p = 0 .Find the value of p.

2007

Answers

4 marks

a)Solve the following quadtaic equation; 3x2 + 5x – 2 = 0

b)The quadratics equation hx2 + kx + 3 = 0 , where h and k are constants , has two equal roots. Express h in terms of k.

2006

Answers

A quadratic equation x2 + px + 9 = 2x

has two equal roots .

Find the possible values of p

3 marks

2005

Answers

3 marks

Solve the quadratic equations x(2x-5) = 2x -1

Give your answer correct to three decimel places.

2008

2008

p = 5

2007

2007

a) X = 1/3 or x= -2

b)

2006

2006

P = 8 or

P = -4

2005

2005

X= 3.351 or

X= 0.1492