SOLUTION: If a+1/a=2 find 9a^2+1/a^2

Question 1206133: If a+1/a=2 find 9a^2+1/a^2
Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
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If a+1/a=2 find 9a^2+1/a^2
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If   +  = 2,  then

    a^2 + 1 = 2a   (after multiplying both sides by "a")

    a^2 - 2a + 1 = 0,

    (a-1)^2 = 0.


Hence,  a = 1.


Then   +  =  +  = 9 + 1 = 10.


ANSWER.  If   +  = 2,  then   +  = 10.

Solved.

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