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:

-11 and 37

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

-11 × 37 = -407
-11 + 37 = 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 - 11 ) (x + 37)

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

x² + 26x - 407 = (x - 11 ) (x + 37)

Multiply To One Number and Add Up To Another
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