What are rational numbers
1 answer:
A rational number is a number that can be written as a fraction or "ratio".
It includes the set of integers because all of them have a denominator of 1. A rational number can take on the form of
where b ≠ 0. Terminating and repeating decimals are rational numbers because they too can be written as a ratio; for example, 0.3 = 
or 0.3333... = 
.
It includes the set of integers because all of them have a denominator of 1. A rational number can take on the form of
You might be interested in
Step-by-step explanation:
Let's represent the two integers with the variables and
.
From the problem statement, we can create the following two equations:
With the first equation, we can subtract from both sides to isolate the
variable to the left-hand side:
Now that we have a value for , we can plug it into the second equation and solve for
:
Now, let's move everything to one side of the equation:
Factoring this quadratic will give us two values for :
Since we now know , we can plug this back into either of the original equations to get a value for
, which will be
.
So the two numbers that sum to and have a product of
are
.