Question

If5+11/3-2/11=x+y/11 then find value of x and y​

Answer 1

Answer:

jebsjs ishsnsnanananan@nn

Answer 2

$x=\frac{-37}{35}$

$and \: y=\frac{-13}{35}$

Step-by-step explanation:

$Given: \frac{5+\sqrt{11}}{3-2\sqrt{11}}$

Rationalise the above equation, we have

$x+y\sqrt{11}$

$=\frac{5+\sqrt{11}}{3-2\sqrt{11}}{\times}\frac{3+2\sqrt{11}}{3+2\sqrt{11}}$

$x+y\sqrt{11}$

$=\frac{15+3\sqrt{11}+10\sqrt{11}+22}{9-44}$

$x+y\sqrt{11}$

$=\frac{37+13\sqrt{11}}{-35}$

$x+y\sqrt{11}$

$=\frac{-37}{35}+\frac{-13}{35}\sqrt{11}$

Now, comparing the LHS and RHS,

$x=\frac{-37}{35}$

$and \: y=\frac{-13}{35}$