What two numbers multiply to 407 and add up to -48?

Here we answer the question: "What two numbers multiply to 407 and add up to -48?"

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 -48:

-37 × -11 = 407
-37 + -11 = -48

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

x² - 48x + 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 -48, you know that the following is true:

x² - 48x + 407 = (x - 37 ) (x - 11)

Multiply To One Number and Add Up To Another
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