if x is equal to 9 + 4 under root 5 and X Y is equal to one, then 1 / X square + 1 /y square is
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if x is equal to 9 + 4 under root 5 and X Y is equal to one, then 1 / X square + 1 /y square is
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GIVEN :-
x = 9 + 4√5
xy = 1
Let, solve the sum :-
here x = 9 + 4√5 (given). -(1)
xy = 1
putting x = 9 + 4√5 in equation:-
(9 + 4√5) y = 1
by rationalising method :-
so, y = 9 - 4√5
now :-
to solve
we have to find the values of 1/x and 1/y first to make question easy :-
x = 9 + 4√5
1/x = 1 / 9+4√5
by rationalising :-
so, 1/x = 9 - 4√5
now y = 1 / 9+4√5 (see 2)
1/y = 9 + 4√5
now ;
Let's find the value of
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Step-by-step explanation:
answer is 322
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