Question

The difference of an integer and its reciprocal is 143/12. Find the integer.

Answer 1

let the integer be x
$x - (1 \div x) = 143 \div 12 \\ {x}^{2} - 1 = (143 \div 12)x \\ 12 {x}^{2} - 12 - 143x = 0 \\ 12 {x}^{2} - 144x + x - 12 = 0 \\ 12x(x - 12) + 1(x - 12) = 0 \\ x = 12(taking \: only \: integral \: value)$
mark as brainliest if helped