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? x2 5

Answer 1

x(x – 5) = 176 is the correct equation to find the greater integer.

As the question mentions, the greater integer is x. So, the smaller integer will be (x - 5). Also, we are informed that their product is 176.

Now, representing the given information as mathematical expression -

x(x – 5) = 176

On further multiplication on Left Hand Side, we get the equation -

x² - 5x = 176

Rewriting the equation -

x² - 5x - 176 = 0

Further solving the equation to validate it.

x² - 16x + 11x - 176 = 0

x (x - 16) + 11 (x - 16) = 0

(x - 16) (x + 11) = 0

x = 16, -11

As stated, the integers are positive. So, the value of x and hence greater integer is 16.

Value of small integer = 16 - 5

Value of small integer = 11

So, the two integers are 16 and 11. Their product is 176 hence, our formed equation is correct.

Therefore, the equation that can be used to find x is : x(x – 5) = 176.

Learn more about product of integers -

brainly.com/question/855270

#SPJ4

The complete question is -

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?

x² + 5 = 176

x(x + 5) = 176

x(x – 5) = 176

x² – 5 = 176