What two numbers multiply to 420 and add up to -109?

Here we answer the question: "What two numbers multiply to 420 and add up to -109?"

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 -109:

-105 × -4 = 420
-105 + -4 = -109

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

x² - 109x + 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 -109, you know that the following is true:

x² - 109x + 420 = (x - 105 ) (x - 4)

Multiply To One Number and Add Up To Another
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