What two numbers multiply to 299 and add up to -36?

Here we answer the question: "What two numbers multiply to 299 and add up to -36?"

The answer to your question is:

-23 and -13

Below we illustrate and prove that -23 and -13 multiply to 299 and add up to -36:

-23 × -13 = 299
-23 + -13 = -36

Are you asking because you are trying to figure out how to factor the following quadratic equation?

x² - 36x + 299 = 0

If so, the solution to factor the quadratic equation above is:

(x - 23 ) (x - 13)

To summarize, since -23 and -13 multiply to 299 and add up -36, you know that the following is true:

x² - 36x + 299 = (x - 23 ) (x - 13)

Multiply To One Number and Add Up To Another
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