3.2: Surd quadratic equation

0606/11/O/N/22 — Question 4 · 6 marks

DO NOT USE A CALCULATOR IN THIS QUESTION.
Solve the equation (51)x22x(5+1)=0(\sqrt{5} - 1)x^{2} - 2x - (\sqrt{5} + 1) = 0, giving your answers in the form a+b5a + b\sqrt{5}, where aa and bb are constants.
[6]