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.

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.

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Question 86010This question is from textbook Barron's PSAT/NMSQT 2006/2007
: If what is the value of ? 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) (Show Source): You can put this solution on YOUR website!
First, I would take the given equation and square the binomial:

Now, just solve for the expression :

Good Luck,
tutor_paul@yahoo.com
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