a/(2a² + 5a + 2) = 1/6 => a/(a(2a + 5 + 2/a)) = 1/6 =>1/(2(a+1/a)+5) = 1/6` => 2(a+1/a)+5 = 6 => 2(a+1/a) = 1 => a+1/a = 1/2
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