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:

14 and 21

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

14 × 21 = 294
14 + 21 = 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 + 14 ) (x + 21)

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

x² + 35x + 294 = (x + 14 ) (x + 21)

Multiply To One Number and Add Up To Another
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