What two numbers have a product of 60 and a sum of -184?




To find the answer to "What two numbers have a product of 60 and a sum of -184?" we first state what we know. We are looking for x and y and we know that x • y = 60 and x + y = -184.

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 = -184 and solve it for y to get y = -184 - x. Then, we replace y in x • y = 60 with -184 - x to get this:

x • (-184 - x) = 60

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

-183.67333
-0.32667


That's it! The two numbers that have a product of 60 and a sum of -184 are -183.67333 and -0.32667 as proven below:

-183.67333 • -0.32667 ≈ 60

-183.67333 + -0.32667 = -184

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 60 and a sum of -185?
Go here for the next product and sum problem on our list that we explained and solved.



Copyright  |   Privacy Policy  |   Disclaimer  |   Contact