Edexcel F1 2017 June — Question 1

Exam BoardEdexcel
ModuleF1 (Further Pure Mathematics 1)
Year2017
SessionJune
TopicRoots of polynomials

  1. The quadratic equation
$$3 x ^ { 2 } - 5 x + 1 = 0$$ has roots \(\alpha\) and \(\beta\).
Without solving the quadratic equation, find the exact value of $$\frac { \alpha } { \beta } + \frac { \beta } { \alpha }$$
Count coution
\(\_\_\_\_\) T