1. ADDITIONAL MATHEMATICS
QUADRATIC EQUATIONS: 10 Minutes Quiz
Form 4
QUADRATIC EQUATIONS
1) Given x 4 is the root of equation 2 x 2 kx 12 0 . Find the value of k.
2) Given that the quadratic equation x 2 5 x 4 p 0 has two different roots. Find
the range values of p.
3) Given that the quadratic equation 3x 2 6 x 4 q 0 has no roots. Find the range
values of q.
Answer:
1)
2(4)2-k(4)-12 = 0
-4k = -20
k=5
2)
x2 5x 4 p 0
2
(-5) -4(1)(4-p) > 0
9
p>
4
3)
3x 2 6x 4 q 0
2
(-6) - 4(3)(4-q) < 0
h<1