What two numbers multiply to 294 and add up to 49?

Here we answer the question: "What two numbers multiply to 294 and add up to 49?"

The answer to your question is:

7 and 42

Below we illustrate and prove that 7 and 42 multiply to 294 and add up to 49:

7 × 42 = 294
7 + 42 = 49

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

x² + 49x + 294 = 0

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

(x + 7 ) (x + 42)

To summarize, since 7 and 42 multiply to 294 and add up 49, you know that the following is true:

x² + 49x + 294 = (x + 7 ) (x + 42)

Multiply To One Number and Add Up To Another
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