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0606 P22 - Nov 2019 - Q11 - 6 marks
8375

Do not use a calculator in this question.

Solve the quadratic equation

\((\sqrt5-3)x^2+3x+(\sqrt5+3)=0,\)

giving your answers in the form \(a+b\sqrt5\), where \(a\) and \(b\) are constants.

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