The equation (k2+4)x2+8x+2=0(k^2 + 4)x^2 + 8x + 2 = 0(k2+4)x2+8x+2=0, where k k\,k is a constant, has two distinct real solutions for xxx.
Find the discriminant of the quadratic equation in terms of kkk.
Hence find the set of possible values for kkk.
49 exam-style questions on Edexcel A Level Maths 2.4 The Discriminant. Each one has a worked solution and a mark scheme showing where the marks go.