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Latihan Quadratic Equation/ Function

CHAPTER 2 : QUADRATIC EQUATIONS

and

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.

[3 marks]

(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]

(ans: -2

9.SPM 2007P1Q4

(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]
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