Respuesta :
Answer with explanation:
Product of two positive Integer = 176
Let one integer that is larger integer = x
Another Integer,that is smaller Integer = x -5
The above statement in terms of equation can be written as:
[tex]x \times (x-5)=176[/tex]
This equation can be used to find the value of x, the greater integer.
Two positive integers have a product of 176. One integer is 5 less than the other integer.
The two integers are 16 and 11. The greater integer is 16.
What is an integer?
An integer can be defined as a whole number that can be positive, negative, or zero.
Given that the product of two positive integers is 176. Also given that one integer is less than the other integer by 5.
Let us consider that one integer is x. The other integer is x-5.
The product of integers is given below.
[tex]176 = x \times (x-5)[/tex]
[tex]176 = x^2 -5x[/tex]
[tex]x^2-5x-176 = 0[/tex]
[tex]x^2 -16x+11x-176=0[/tex]
[tex]x(x-16)+11(x-16)=0[/tex]
[tex]x = 16 \;\; x = -11[/tex]
We take the positive value of the integer x that is 16. The value of the other integer is 16-5 = 11.
Hence we can conclude that the two integers are 16 and 11. The greater integer is 16.
To know more about the integers, follow the link given below.
https://brainly.com/question/1768254.
