Question 187383
The sum of a number and its reciprocal is 10/3. Find the number.
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Since there's a 3 in the DEN, I'd guess 3.  I'm right.
The hard way:
x + 1/x = 10/3
3x + 3/x = 10
{{{3x^2 + 3 = 10x}}}
{{{3x^2 - 10x + 3 = 0}}}
(x-3)*(3x-1) = 0
x = 3
x = 1/3
I woulda missed the 1/3 just eyeballing it.