What two numbers multiply to -57 and add up to 16?

Here we answer the question: "What two numbers multiply to -57 and add up to 16?"

The answer to your question is:

-3 and 19

Below we illustrate and prove that -3 and 19 multiply to -57 and add up to 16:

-3 × 19 = -57
-3 + 19 = 16

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

x² + 16x - 57 = 0

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

(x - 3 ) (x + 19)

To summarize, since -3 and 19 multiply to -57 and add up 16, you know that the following is true:

x² + 16x - 57 = (x - 3 ) (x + 19)

Multiply To One Number and Add Up To Another
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