To find the answer to "What two numbers have a product of -128 and a sum of -137?" we first state what we know. We are looking for x and y and we know that x • y = -128 and x + y = -137.
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 = -137 and solve it for y to get y = -137 - x. Then, we replace y in x • y = -128 with -137 - x to get this:
x • (-137 - x) = -128
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 -128 and a sum of -137. The numbers are:
-137.92802
0.92802
That's it! The two numbers that have a product of -128 and a sum of -137 are -137.92802 and 0.92802 as proven below:
-137.92802 • 0.92802 ≈ -128
-137.92802 + 0.92802 = -137
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.