exam Maths Puzzle Numerical Ability

The sum of an integer and its reciprocal is 82/9. Find the integer.

Could you please show me how to do this? Thanks so much

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exam Other Question

y=2^x++1?
y=x+6=?
y=log2(x-1)andy=x^3-4x find the graphs?
solve log2(x-1)=x^3-4x.
what does non linear mean?
what other methods do we have to solve these systems?
is this relation a function, if so how do I figure domain and range

(-4,4), (-2.2),(0,0),-2,-2)?