What two numbers multiply to 404 and add up to -105?

Here we answer the question: "What two numbers multiply to 404 and add up to -105?"

The answer to your question is:

-101 and -4

Below we illustrate and prove that -101 and -4 multiply to 404 and add up to -105:

-101 × -4 = 404
-101 + -4 = -105

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

x² - 105x + 404 = 0

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

(x - 101 ) (x - 4)

To summarize, since -101 and -4 multiply to 404 and add up -105, you know that the following is true:

x² - 105x + 404 = (x - 101 ) (x - 4)

Multiply To One Number and Add Up To Another
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