2.11: Quadratic equation with surd coefficients

0606/22/O/N/18 — Question 7 · 6 marks

(a)
Solve the quadratic equation (13)x2+x+(1+3)=0(1 - \sqrt{3})x^{2} + x + (1 + \sqrt{3}) = 0, giving your answer in the form a+b3a + b\sqrt{3}, where aa and bb are constants.
[6]