What two numbers multiply to -406 and add up to -51?

Here we answer the question: "What two numbers multiply to -406 and add up to -51?"

The answer to your question is:

-58 and 7

Below we illustrate and prove that -58 and 7 multiply to -406 and add up to -51:

-58 × 7 = -406
-58 + 7 = -51

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

x² - 51x - 406 = 0

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

(x - 58 ) (x + 7)

To summarize, since -58 and 7 multiply to -406 and add up -51, you know that the following is true:

x² - 51x - 406 = (x - 58 ) (x + 7)

Multiply To One Number and Add Up To Another
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