What two numbers multiply to 406 and add up to -43?

Here we answer the question: "What two numbers multiply to 406 and add up to -43?"

The answer to your question is:

-29 and -14

Below we illustrate and prove that -29 and -14 multiply to 406 and add up to -43:

-29 × -14 = 406
-29 + -14 = -43

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

x² - 43x + 406 = 0

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

(x - 29 ) (x - 14)

To summarize, since -29 and -14 multiply to 406 and add up -43, you know that the following is true:

x² - 43x + 406 = (x - 29 ) (x - 14)

Multiply To One Number and Add Up To Another
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