3.37: Solve an equation with surds

0606/12/M/J/23 — Question 2 · 5 marks

Do not use a calculator in this question.

Solve the equation x+25=4x+325\dfrac{x + 2}{5} = \dfrac{4}{x} + 3 - 2\sqrt{5}, giving your answers in the form a+b5a + b\sqrt{5} where aa and bb are integers.
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