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