THIS -7-55 7-55 7455 =a+b5 -
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THIS -7-55 7-55 7455 =a+b5 -

11th - 12th Class
Maths
Solution
104
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( frac{7+sqrt{5}}{7-sqrt{5}}-frac{7-sqrt{5}}{7+sqrt{5}}=a+b sqrt{5} ) ( Rightarrow frac{(7+sqrt{5})^{2}-(7-sqrt{5})^{2}}{(7+sqrt{5})(7-sqrt{5})}=a+b sqrt{5} ) ( Rightarrow frac{49+5+14 sqrt{5}-49-5+14 sqrt{5}}{49-5}=a+6 sqrt{5} ) ( Rightarrow frac{28 sqrt{5}}{44}=a+b sqrt{5} ) ( Rightarrow frac{7 sqrt{5}}{11}=a+b sqrt{5} ) Companing coeficients on both sides, ( a=0 ) ( b=frac{7}{11} )
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