Save:
Favorite
Share:
Calculator Allowed: Yes

Question

Answer

Transcription of this question: [Maximum mark: 17]Consider the equation x’ — 3×4+ mx3+ nx2+px + q = O , where m , n , p , q e R.The equation has three distinct real roots which can be written as log2a , log2b and log2C.The equation also has two imaginary roots, one of which is di where d e R.(a) Show that abc = 8.The values a, b, and c are consecutive terms in a geometric sequence.(b) Show that one of the real roots is equal to 1.(c) Given that q = 8d2 , find the other two real roots.[5][9]

Leave a Reply