CHAPTER 2 : QUADRATIC EQUATIONS
CHAPTER 3 : QUADRATIC FUNCTIONS
1.SPM 2003 P1 Q3
Solve the quadratic equation 2x(x-4) =(1-x)(x+2). Give your answer correct to four significant figures. [3 marks]
(ans: 2.591, -0.2573)
2.SPM 2003 P1Q4
The quadratic equation x(x+1) = px-4 has two distinct roots. Find the range of values of p.
(ans: 5, -3)
3.SPM 2004 P1Q4
From the quadratic which has the roots -3 and ½. Give your answer in the form ax2 +bx+c=0, where
a, b and c are constants. (ans:2x2+5x-3=0) [2 marks]
4.SPM 2005 P1Q4
The straight line y = 5x-1 does not intersect the curve y=2x2 +x+p. Find the range of values of p.
[3 marks] (ans: p<1)
5.SPM 2005 P1 Q5
Solve the quadratic equation x(2x-5) =2x-1. Give your answer correct to three decimal places.
[3 marks](ans: 8.153, 0.149)
6.SPM 2006 P1Q3
A quadratic equation x2 +px+9 =2x has two equal roots. Find the possible values of p. [3 marks]
(ans: 8, -4)
7. SPM2006 P1Q5
Find the range of the values of x for (2x-1)(x+4)>4+x. (ans:x<-4,x>1) [2 marks]
8.SPM 2004 P1Q5
Find the range of values of x for which x(x-4) 12 . [3 marks]
(a) Solve the following quadratic equation : 3x2 +5x -2 =0
(b) The quadratic equation hx2 +kx+3 =0, where h and k are constants, has two equal roots, express h in terms of k. [4marks]
10. SPM 2007 P1 Q5
Find the range of values of x for which 2x2 1+x. [3 marks]
11. SPM 2008 P1Q4
It is given that -1 is one of the roots of the quadratic equation x2-4x-p=0. Find the value of p.
[ ans 5] [2marks]