Given that the equation 2qx2+qx−1=02qx^2 + qx - 1 = 02qx2+qx−1=0, where q q\,q is a constant, has no real roots,
show that q2+8q<0q^2 + 8q < 0q2+8q<0.
Hence find the set of possible values of qqq.
Practise Edexcel A Level Old Maths Algebra and Functions 1 with exam-style questions for A Level Old Maths. 19 questions, matched to the Edexcel A Level Old Maths (9371) specification and written in Unit exams C1, C2, C3 and C4 plus two applied units (e.g. S1 and M1) style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.