The equation kx2+4x+(5−k)=0kx^2 + 4x + (5 - k) = 0kx2+4x+(5−k)=0, where k k\,k is a constant, has 2 different real solutions for xxx.
Show that k k\,k satisfies
k2−5k+4>0. k^2 - 5k + 4 > 0. k2−5k+4>0.Hence find the set of possible values of kkk.
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.