Answer
What two numbers have a product of 8 and a sum of 6?" we first state what we know. We are looking for x and y and we know that x • y = 8 and x + y = 6.
Before we keep going, it is important to know that x • y is the same as y • x and x + y is the same as y + x. The two variables are interchangeable. Which means that when we create one equation to solve the problem, we will have two answers.
To solve the problem, we take x + y = 6 and solve it for y to get y = 6 - x. Then, we replace y in x • y = 8 with 6 - x to get this:
x • (6 - x) = 8
Like we said above, the x and y are interchangeable, therefore the x in the equation above could also be y. The bottom line is that when we solved the equation we got two answers which are the two numbers that have a product of 8 and a sum of 6. The numbers are:
2
4
That's it! The two numbers that have a product of 8 and a sum of 6 are 2 and 4 as proven below:
2 • 4 = 8
2 + 4 = 6
Note: Answers are rounded up to the nearest 6 decimals if necessary so the answers may not be exact.
Step-by-step explanation: