SOLUTION: if {{{a/b+b/a=6}}}, what is the value of {{{((a^2)/(b^2))+((b^2)/(a^2))}}} (a) 32 (b) 34 (c) 36 (d) 48 (e) None

Algebra ->  Finance -> SOLUTION: if {{{a/b+b/a=6}}}, what is the value of {{{((a^2)/(b^2))+((b^2)/(a^2))}}} (a) 32 (b) 34 (c) 36 (d) 48 (e) None       Log On


   

Question 881641: if a%2Fb%2Bb%2Fa=6, what is the value of %28%28a%5E2%29%2F%28b%5E2%29%29%2B%28%28b%5E2%29%2F%28a%5E2%29%29
(a) 32 (b) 34 (c) 36 (d) 48 (e) None
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
a%2Fb%2Bb%2Fa=6


%28a%2Fb%2Bb%2Fa%29%5E2=6%5E2


%28a%2Fb%29%5E2%2B2%2A%28a%2Fb%29%2A%28b%2Fa%29%2B%28b%2Fa%29%5E2=6%5E2


%28a%2Fb%29%5E2%2B%282ab%29%2F%28ab%29%2B%28b%2Fa%29%5E2=6%5E2


%28a%2Fb%29%5E2%2B2%2B%28b%2Fa%29%5E2=6%5E2


%28a%5E2%29%2F%28b%5E2%29%2B2%2B%28b%5E2%29%2F%28a%5E2%29=36


%28a%5E2%29%2F%28b%5E2%29%2B%28b%5E2%29%2F%28a%5E2%29=36-2


%28a%5E2%29%2F%28b%5E2%29%2B%28b%5E2%29%2F%28a%5E2%29=34


So the answer is (b) 34