What two numbers have a product of 92 and a sum of -26?




To find the answer to "What two numbers have a product of 92 and a sum of -26?" we first state what we know. We are looking for x and y and we know that x • y = 92 and x + y = -26.

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 = -26 and solve it for y to get y = -26 - x. Then, we replace y in x • y = 92 with -26 - x to get this:

x • (-26 - x) = 92

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 92 and a sum of -26. The numbers are:

-21.77496
-4.22504


That's it! The two numbers that have a product of 92 and a sum of -26 are -21.77496 and -4.22504 as proven below:

-21.77496 • -4.22504 ≈ 92

-21.77496 + -4.22504 = -26

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

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