What two numbers multiply to -420 and add up to -101?

Here we answer the question: "What two numbers multiply to -420 and add up to -101?"

The answer to your question is:

-105 and 4

Below we illustrate and prove that -105 and 4 multiply to -420 and add up to -101:

-105 × 4 = -420
-105 + 4 = -101

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

x² - 101x - 420 = 0

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

(x - 105 ) (x + 4)

To summarize, since -105 and 4 multiply to -420 and add up -101, you know that the following is true:

x² - 101x - 420 = (x - 105 ) (x + 4)

Multiply To One Number and Add Up To Another
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