What two numbers multiply to -343 and add up to 42?

Here we answer the question: "What two numbers multiply to -343 and add up to 42?"

The answer to your question is:

-7 and 49

Below we illustrate and prove that -7 and 49 multiply to -343 and add up to 42:

-7 × 49 = -343
-7 + 49 = 42

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

x² + 42x - 343 = 0

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

(x - 7 ) (x + 49)

To summarize, since -7 and 49 multiply to -343 and add up 42, you know that the following is true:

x² + 42x - 343 = (x - 7 ) (x + 49)

Multiply To One Number and Add Up To Another
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