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Answer :
To solve the problem of finding the equation used to determine the value of [tex]\( x \)[/tex], the greater integer, let's break down the information given:
1. Product of Two Integers: We know that the product of two integers is 176.
2. Relationship Between The Integers: One integer is 5 less than the other. This means if we let [tex]\( x \)[/tex] represent the greater integer, the smaller integer can be represented as [tex]\( x - 5 \)[/tex].
3. Setting Up the Equation: The product of these two integers is given as 176. So, we can express this relationship as an equation:
[tex]\[
x \times (x - 5) = 176
\][/tex]
This equation, [tex]\( x(x - 5) = 176 \)[/tex], accurately reflects the conditions of the problem. Therefore, the correct choice from the given options is:
- [tex]\( x(x-5)=176 \)[/tex]
This equation will allow you to solve for [tex]\( x \)[/tex], the greater integer.
1. Product of Two Integers: We know that the product of two integers is 176.
2. Relationship Between The Integers: One integer is 5 less than the other. This means if we let [tex]\( x \)[/tex] represent the greater integer, the smaller integer can be represented as [tex]\( x - 5 \)[/tex].
3. Setting Up the Equation: The product of these two integers is given as 176. So, we can express this relationship as an equation:
[tex]\[
x \times (x - 5) = 176
\][/tex]
This equation, [tex]\( x(x - 5) = 176 \)[/tex], accurately reflects the conditions of the problem. Therefore, the correct choice from the given options is:
- [tex]\( x(x-5)=176 \)[/tex]
This equation will allow you to solve for [tex]\( x \)[/tex], the greater integer.
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