What two numbers multiply to -294 and add up to 43?

Here we answer the question: "What two numbers multiply to -294 and add up to 43?"

The answer to your question is:

-6 and 49

Below we illustrate and prove that -6 and 49 multiply to -294 and add up to 43:

-6 × 49 = -294
-6 + 49 = 43

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

x² + 43x - 294 = 0

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

(x - 6 ) (x + 49)

To summarize, since -6 and 49 multiply to -294 and add up 43, you know that the following is true:

x² + 43x - 294 = (x - 6 ) (x + 49)

Multiply To One Number and Add Up To Another
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