What two numbers multiply to 418 and add up to -49?

Here we answer the question: "What two numbers multiply to 418 and add up to -49?"

The answer to your question is:

-38 and -11

Below we illustrate and prove that -38 and -11 multiply to 418 and add up to -49:

-38 × -11 = 418
-38 + -11 = -49

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

x² - 49x + 418 = 0

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

(x - 38 ) (x - 11)

To summarize, since -38 and -11 multiply to 418 and add up -49, you know that the following is true:

x² - 49x + 418 = (x - 38 ) (x - 11)

Multiply To One Number and Add Up To Another
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