1.2: Quadratic with surd coefficients

0606/11/M/J/20 — Question 4 · 5 marks

Do not use a calculator in this question.

Find the positive solution of the equation (5+47)x2+(427)x1=0(5 + 4\sqrt{7})x^{2} + (4 - 2\sqrt{7})x - 1 = 0, giving your answer in the form a+b7a + b\sqrt{7}, where aa and bb are fractions in their simplest form.
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