Surds - Equations Involving Surds

Surds - Equations Involving Surds

Without using a calculator, find the values of the integers a and b for which the solution of the equation \((x+1)\sqrt{40}=x\sqrt{5}+\sqrt{10}\ \,\mathrm{is }\frac{a+b\sqrt{2}}{7}\).

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Answer:\(a=-4,\ b=-1\)

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