What two numbers multiply to 294 and add up to -35?

Here we answer the question: "What two numbers multiply to 294 and add up to -35?"

The answer to your question is:

-21 and -14

Below we illustrate and prove that -21 and -14 multiply to 294 and add up to -35:

-21 × -14 = 294
-21 + -14 = -35

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

x² - 35x + 294 = 0

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

(x - 21 ) (x - 14)

To summarize, since -21 and -14 multiply to 294 and add up -35, you know that the following is true:

x² - 35x + 294 = (x - 21 ) (x - 14)

Multiply To One Number and Add Up To Another
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