Question

What positive number is 8 more than its reciprocal?

Answer 1

let the positive number be \(x\) then its reciprocal is \(1\over x\).
The given statement becomes:
\[
x\text{ is 8 more than }{1\over x}\\
\implies x-{1\over x}=8
\]
solve this equation for 'x'
you will get a quadratic with two possible solutions.