What two numbers multiply to -407 and add up to -26?

Here we answer the question: "What two numbers multiply to -407 and add up to -26?"

The answer to your question is:

-37 and 11

Below we illustrate and prove that -37 and 11 multiply to -407 and add up to -26:

-37 × 11 = -407
-37 + 11 = -26

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

x² - 26x - 407 = 0

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

(x - 37 ) (x + 11)

To summarize, since -37 and 11 multiply to -407 and add up -26, you know that the following is true:

x² - 26x - 407 = (x - 37 ) (x + 11)

Multiply To One Number and Add Up To Another
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