Question

solving quadratic equations: factoring
finding consecutive integers
the product of two consecutive, negative integers is 182
what equation represents the situation?
$x(x + 1) = -182$
$x(x + 1) = 0$
$x(x + 1) = 182$

Explanation:

Step1: Define the negative integer

Let \(x\) = first negative integer.

Step2: Define consecutive integer

The next consecutive negative integer is \(x+1\).

Step3: Set up product equation

Their product equals 182: \(x(x+1)=182\)

Answer:

\(x(x + 1) = 182\)