CAIE IGCSE Additional Math 2 Quadratic Functions Topic Practice

Question 1

[Maximum number: 5]

2 In this question,k is a constant.

It is given that 2x2+(3k2)x+k=02 x^{2}+(3 k-2) x+k=0 has roots that are real and distinct.

Find the set of possible values of k .

Question 2

[Maximum number: 2]

Solve the inequality (x+2)(4x5)0(x+2)(4 x-5) \leqslant 0.

Question 3

[Maximum number: 5]

Find the values of the constant k for which the equation (2k1)x2+6x+k+1=0(2 k-1) x^{2}+6 x+k+1=0 has real roots. [5]

All question bank results loaded