SOLUTION: If a-1/a=3 then find a^2+3a+1/a^2-3/a

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Question 1122043: If a-1/a=3 then find a^2+3a+1/a^2-3/a
Found 2 solutions by Alan3354, ikleyn:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
It's ambiguous.
Add parentheses.
Answer by ikleyn(52864)   (Show Source): You can put this solution on YOUR website!
.
You are given


 -  = 3.


Square both sides.  You will get


9 =  =  -  +  =  - 2 + .


Hence,   +  = 9 + 2 = 11.


Then     +  +  -   (which is under the question) is equal to


     +  = 11 +3*3 = 20.


Answer.  Then   +  = 20.

Solved.

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The referred lesson is the part of this online textbook under the topic "Evaluation, substitution".


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Free of charge online textbook in ALGEBRA-I
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