What two numbers multiply to 319 and add up to -40?

Here we answer the question: "What two numbers multiply to 319 and add up to -40?"

The answer to your question is:

-29 and -11

Below we illustrate and prove that -29 and -11 multiply to 319 and add up to -40:

-29 × -11 = 319
-29 + -11 = -40

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

x² - 40x + 319 = 0

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

(x - 29 ) (x - 11)

To summarize, since -29 and -11 multiply to 319 and add up -40, you know that the following is true:

x² - 40x + 319 = (x - 29 ) (x - 11)

Multiply To One Number and Add Up To Another
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