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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 [tex]x[/tex], the greater integer?

A. [tex]x^2 + 5 = 176[/tex]

B. [tex]x(x + 5) = 176[/tex]

C. [tex]x(x - 5) = 176[/tex]

D. [tex]x^2 - 5 = 176[/tex]

Answer :

Let $x$ be the greater integer. Then the smaller integer is $x - 5$. Their product is given by

$$
x(x-5)=176.
$$

This is the equation that can be used to find the value of $x$.

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