1. QUADRATIC EQUATIONS
PAPER 1
1. Express x(3x – 2) = x2
+ 5 in the general form. [2 marks]
Answer : …………………………........
2. Form the quadratic equation which has roots 2 dan −3. [2 marks]
Answer: …………………………........
3. Form the quadratic equation which has roots −3 dan
2
1
. Give your answer in the form
02
=++ cbxax , where a, b and c are constants. [2 marks]
Answer: …………………………........
1

2. 4. Solve the quadratic equation 2x(3x – 1) + 9x = 5. [3 marks]
Answer : …………………………........
5. Solve the quadratic equation h2
– 3h + 2 = 2(h – 1). [3 marks]
Answer : …………………………........
6. Solve the quadratic equation 2x(x – 4) = (1 – x)(x + 2).
Give your answer correct to four significant figures. [4 marks]
Answer : …………………………........
2

3. 7. Solve the qudratic equation 12)52( −=− xxx .
Give your answer correct to 3 decimal places. [4 marks]
Answer : …………………………........
8 Given one of the roots of the quadratic equation x2
+ kx +1 = 0 is four times the other
root. Determine the values of k. [3 marks]
Answer : …………………………........
9. One of the roots of the quadratic equation 2x2
+ 8x = 2k + 1 is three times the other
root ,where k is a constant. Find the roots and the value of k.
[4 marks]
Answer : roots =…………………........
k = ………………........
3

4. 10. Given that m and n are the roots of the quadratic equation x2
+ 3x – 9 = 0, form a
quadratic equation whose roots are
2
m
and
2
n
. [4
marks]
Answer : …………………………........
11. Find the range of values of p if the quadratic equation
2
(4 ) 3 2 0p x x− + − = has two
distinct roots. [3 marks]
Answer : …………………………........
12. The quadratic equation 2 2
2(1 ) 5x k x k+ − + = has no roots. Find the range of values of
k . [3 marks]
Answer : …………………………........
4

5. 13. The quadratic equation 2
2 ( 2 ) 2x x p x p+ = − has two distinct roots. Find the range
of values of p. [2 marks]
Answer : …………………………........
14. A quadratic equation 2
9 2x px x+ + = has two equal roots.
Find the possible values of p. [3 marks]
Answer : …………………………........
5

6. ANSWER – QUADRATIC EQUATIONS
1. 2x2
− 2x – 5 = 0
2. x2
+ x – 6 = 0
3. 2x2
+ 5x – 3 = 0
4.
3
5
−=x ,
2
1
=x
5. h = 1, h = 4
6. x = 2.591 , x = −0.2573
7. x = 3.351, x = 0.149
8.
2
5
±=k
9. Roots = −1, −3,
2
7
−=k
10. 4x2
+ 6x – 9 = 0
11.
41
8
p >
12. k > 3
13. p <
1
8
14. p = 8,- 4.
6

7. ANSWER – QUADRATIC EQUATIONS
1. 2x2
− 2x – 5 = 0
2. x2
+ x – 6 = 0
3. 2x2
+ 5x – 3 = 0
4.
3
5
−=x ,
2
1
=x
5. h = 1, h = 4
6. x = 2.591 , x = −0.2573
7. x = 3.351, x = 0.149
8.
2
5
±=k
9. Roots = −1, −3,
2
7
−=k
10. 4x2
+ 6x – 9 = 0
11.
41
8
p >
12. k > 3
13. p <
1
8
14. p = 8,- 4.
6