1.

-(-sqrt(5) %2B 7)/(sqrt(5) %2B 7) %2B (sqrt(5) %2B 7)/(-sqrt(5) %2B 7)=a %2B b*((7*sqrt(5))/11)

Answer»

The given equation is :(7 + sqrt(5))/(7 - sqrt(5)) - (7 - sqrt(5))/(7 + sqrt(5))= a + 7sqrt(5)b/11

Solving the LHS of the above equation, we get

(7+sqrt(5))(7+sqrt(5)) - (7- sqrt(5))(7-sqrt(5))/49-5

= 7 + 5 + 14sqrt(5) - 7 - 5 + 14sqrt(5)/44

= 28 sqrt (5)/44

= 7 sqrt(5)/11

Now, comparing with the RHS of the equation, we get

a=0 and b=1



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