What two numbers multiply to -42 and add up to 11?

Here we answer the question: "What two numbers multiply to -42 and add up to 11?"

The answer to your question is:

-3 and 14

Below we illustrate and prove that -3 and 14 multiply to -42 and add up to 11:

-3 × 14 = -42
-3 + 14 = 11

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

x² + 11x - 42 = 0

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

(x - 3 ) (x + 14)

To summarize, since -3 and 14 multiply to -42 and add up 11, you know that the following is true:

x² + 11x - 42 = (x - 3 ) (x + 14)

Multiply To One Number and Add Up To Another
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