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
Related Questions on Surds and Indices
A. $$\frac{1}{2}$$
B. 1
C. 2
D. $$\frac{7}{2}$$
Given that 100.48 = x, 100.70 = y and xz = y2, then the value of z is close to:
A. 1.45
B. 1.88
C. 2.9
D. 3.7
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