Question

Please answer this.. I want full explanation of the solution along with steps..

Answer 1

(7+√5)/(7-√5)-(7-√5)/(7+√5)=a+7/11b√5
RHS=a+7/11b√5
LHS=(7+√5)/(7-√5)-(7-√5)/(7+√5)
=(7+√5)/(7-√5)×(7+√5)/7+√5)-(7-√5)/ (7+√5)×(7-√5)/(7-√5)
=(49+14√5+5)/(49-5)-(49-14√5+5)/(49-5)
=(54+14√5)/44-(54-14√5)/44
=(54+14√5-54+14√5)/44
=28√5/44
=7/11√5
=0+7/11×1×√5
RHS=a+7/11b√5
on comparing we get,
a=0 and b=1

Answer 2

see attachment......answer is

a=0 and b=1

hope it will help u