Respuesta :
The required integers are {2, 8} and {-2, -8}
What is an equation?
"It is a mathematical statement which consists of equal symbol between two algebraic expressions."
What is an integer?
"It is a collection of all natural numbers with their negative, and zero."
For given question,
Let p, q be any two integers.
One integer is 4 times another.
So we get an equation,
[tex]\Rightarrow p=4q[/tex] .....................(i)
The product of the two integers is 16.
So we get an equation,
[tex]\Rightarrow p\times q=16[/tex] ..................(ii)
Substitute the value of p in equation (ii)
[tex]\Rightarrow p\times q=16\\\Rightarrow 4q\times q=16\\\Rightarrow 4q^2=16\\\Rightarrow q^2=4\\\Rightarrow q=\pm 2[/tex]
For q = 2 from equation (i),
[tex]\Rightarrow p=4q\\\Rightarrow p=4\times 2\\\Rightarrow p=8[/tex]
For q = -2 from equation (i),
[tex]\Rightarrow p=4q\\\Rightarrow p=4\times (-2)\\\Rightarrow p=-8[/tex]
Therefore, the required integers are {2, 8} and {-2, -8}
Learn more about the equation here:
https://brainly.com/question/649785
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