Question

two positive integers have a product of 176. one integer is 5 less than the other integer. which equation can be used to find the value of x, the greater integer?
$x^2 + 5 = 176$
$x(x + 5) = 176$
$x(x - 5) = 176$
$x^2 - 5 = 176$

Explanation:

Step1: Define the variables

Let \( x \) be the greater integer. Then the smaller integer is \( x - 5 \) (since one integer is 5 less than the other).

Step2: Set up the product equation

The product of the two integers is 176. So, we multiply the two integers \( x \) and \( x - 5 \) and set it equal to 176. This gives us the equation \( x(x - 5)=176 \).

Answer:

\( x(x - 5)=176 \) (corresponding to the option \( x(x - 5)=176 \))