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 
. Give your answer in the form 
, where a, b
and c are constants. [2 marks]
. Give your answer in the form , where a, b
and c are constants. [2 marks]
Answer: …………………………........
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 : …………………………........
7.
Solve
the qudratic equation 
.
.
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 = ………………........
10. Given that m and
n are the roots of the quadratic equation x2 + 3x – 9 = 0, form a quadratic equation whose
roots are 
and 
. [4 marks]
and . [4 marks]
Answer : …………………………........
11. Find the range of values of
p if the quadratic equation 
has two distinct
roots. [3 marks]
has two distinct
roots. [3 marks]
Answer : …………………………........
12.
The
quadratic equation
has no roots. Find the
range of values of k . [3
marks]
has no roots. Find the
range of values of k . [3
marks]
Answer : …………………………........
13. The quadratic equation 
has two distinct roots.
Find the range of values of p. [2
marks]
has two distinct roots.
Find the range of values of p. [2
marks]
Answer : …………………………........
14. A quadratic equation 
has two equal roots.
has two equal roots.
Find the possible values of p. [3
marks]
Answer : …………………………........
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