Quadratics Equations 0508

TOPIC QUADRATIC EQUATIONS

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2007

2006

2005

LEARNING OBJECTIVES •Understand the concept of quadratic equations and their roots •Understand and use the conditions for quadratic equations to have a)two different roots b)two equal roots c)no roots

It is given that -1 is one of the roots of the quadratic equation x2 – 4x – p = 0 . Find the value of p.

3marks

Answers

2 0 0 8

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. 4 marks Answers

2 0 0 7

A quadratic equation x2 + px + 9 = 2x has two equal roots . Find the possible values of p 3 marks

Answers

2 0 0 6

Solve the quadratic equations x(2x-5) = 2x -1 Give your answer correct to three decimel places. 3 marks

Answers

2 0 0 5

p=5

2008

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

2007

P=8 or P = -4

2006

X= 3.351 or X= 0.1492

2005