3.85: Solve an equation with 10\sqrt{10}

0606/21/O/N/23 — Question 8 · 7 marks

Do not use a calculator in this question.

Solve the equation (x210)2+(x+210)=0(x - 2\sqrt{10})^{2} + (x + 2\sqrt{10}) = 0, giving your answers in the form a+b10a + b\sqrt{10}, where aa and bb are rational.
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