What two numbers have a product of -184 and a sum of 45?




To find the answer to "What two numbers have a product of -184 and a sum of 45?" we first state what we know. We are looking for x and y and we know that x • y = -184 and x + y = 45.

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 = 45 and solve it for y to get y = 45 - x. Then, we replace y in x • y = -184 with 45 - x to get this:

x • (45 - x) = -184

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 -184 and a sum of 45. The numbers are:

-3.77261
48.77261


That's it! The two numbers that have a product of -184 and a sum of 45 are -3.77261 and 48.77261 as proven below:

-3.77261 • 48.77261 ≈ -184

-3.77261 + 48.77261 = 45

Note: Answers are rounded up to the nearest five decimals if necessary so the answers may not be exact.

Product Sum Calculator
Need the answer to a similar problem? Submit another product and sum below to find the two numbers that make your product and sum.




What two numbers have a product of -184 and a sum of 46?
Go here for the next product and sum problem on our list that we explained and solved.



Copyright  |   Privacy Policy  |   Disclaimer  |   Contact