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Examveda

If x, y are rational numbers and$$\frac{{5 + \sqrt {11} }}{{3 - 2\sqrt {11} }} = x + y\sqrt {11} .$$     The values of x and y are

A. $$x = \frac{{ - 14}}{{17}},\,y = \frac{{ - 13}}{{26}}$$

B. $$x = \frac{4}{{13}},\,y = \frac{{11}}{{17}}$$

C. $$x = \frac{{ - 27}}{{25}},\,y = \frac{{ - 11}}{{37}}$$

D. $$x = \frac{{ - 37}}{{25}},\,y = \frac{{ - 13}}{{35}}$$

Answer: Option D


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