SOLUTION: (a) Expand (a + 1/a)^2 (b) Given that a + 1/a =7, use your result in (a) to find the value of a^2 + 1/a^2

Algebra ->  Equations -> SOLUTION: (a) Expand (a + 1/a)^2 (b) Given that a + 1/a =7, use your result in (a) to find the value of a^2 + 1/a^2      Log On


   

Question 1038497: (a) Expand (a + 1/a)^2
(b) Given that a + 1/a =7, use your result in (a) to find the value of a^2 + 1/a^2
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
(a) Expand (a + 1/a)^2
= a^2 + 2 + 1/a^2
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(b) Given that a + 1/a =7, use your result in (a) to find the value of a^2 + 1/a^2
(a + 1/a)^2 = a^2 + 2 + 1/a^2
7^2 = a^2 + 2 + 1/a^2 = 49
a^2 + 1/a^2 = 47