4. Find a and b in 3ts. 3te cass-6
Question
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4. Find a and b in 3ts. 3te cass-6

11th - 12th Class
Maths
Solution
127
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( frac{3-sqrt{5}}{3+2 sqrt{5}}=a sqrt{5}-frac{b}{11} ) ( left(frac{3 sqrt{5}}{3+2 sqrt{5}}right)left(frac{3-2 sqrt{5}}{3-2 sqrt{5}}right)=9 sqrt{5}-frac{6}{11} ) ( frac{9-6 sqrt{5}-3 sqrt{5}+2 times 5}{(3)^{2}-(2 sqrt{5})^{2}}=9 sqrt{5}-frac{b}{11} ) ( frac{9-9 sqrt{5}+10}{9-4 times 5}=sqrt[4]{5}-frac{-b}{11} ) ( Rightarrow quad frac{19-9 sqrt{5}}{9-20}=9 sqrt{5}-frac{5}{11} ) ( Rightarrow quad frac{19-9 sqrt{5}}{-11}=9 sqrt{5}-frac{b}{11} ) ( Rightarrow quad frac{-19}{11}+frac{3 sqrt{5}}{11}=9 sqrt{5}-frac{b}{11} ) ( Rightarrow quad frac{9}{11} sqrt{5}-frac{19}{11}=9 sqrt{5}-frac{5}{11} ) Compaling both sldes, ( d=frac{9}{11} & cdot b=19 )
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