What two numbers multiply to -462 and add up to -31?

Here we answer the question: "What two numbers multiply to -462 and add up to -31?"

The answer to your question is:

-42 and 11

Below we illustrate and prove that -42 and 11 multiply to -462 and add up to -31:

-42 × 11 = -462
-42 + 11 = -31

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

x² - 31x - 462 = 0

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

(x - 42 ) (x + 11)

To summarize, since -42 and 11 multiply to -462 and add up -31, you know that the following is true:

x² - 31x - 462 = (x - 42 ) (x + 11)

Multiply To One Number and Add Up To Another
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