SOLUTION: If {{{(1/a+a)^2=144}}} what is the value of {{{1/a^2+a^2}}}? I saw the answer, but couldn't figure out how they got that answer. Thanks.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: If {{{(1/a+a)^2=144}}} what is the value of {{{1/a^2+a^2}}}? I saw the answer, but couldn't figure out how they got that answer. Thanks.      Log On


   

Question 86010This question is from textbook Barron's PSAT/NMSQT 2006/2007
: If %281%2Fa%2Ba%29%5E2=144 what is the value of 1%2Fa%5E2%2Ba%5E2? I saw the answer, but couldn't figure out how they got that answer. Thanks. This question is from textbook Barron's PSAT/NMSQT 2006/2007

Answer by tutor_paul(519) About Me  (Show Source):
You can put this solution on YOUR website!
First, I would take the given equation and square the binomial:
%281%2Fa%2Ba%29%5E2=144
1%2Fa%5E2%2B2%2Ba%5E2=144
Now, just solve for the expression 1%2Fa%5E2%2Ba%5E2:
highlight%281%2Fa%5E2%2Ba%5E2=142%29
Good Luck,
tutor_paul@yahoo.com