Chapter 1 - Equations and Inequalities - 1.5 Applications and Modeling with Quadratic Equations - 1.5 Exercises - Page 129: 14

$11,13$

Lets call the first integer x, and the second x + 2. $x(x+2) = 143$ $x^2 + 2x = 143$ $x^2 + 2x -143= 0$ $(x-11)(x+13) = 0$ $x = --13, 11$ The correct solution is 11, because -13 is not an integer. Therefore the numbers are $11,13$.