What two numbers multiply to -102 and add up to 49?

Here we answer the question: "What two numbers multiply to -102 and add up to 49?"

The answer to your question is:

-2 and 51

Below we illustrate and prove that -2 and 51 multiply to -102 and add up to 49:

-2 × 51 = -102
-2 + 51 = 49

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

x² + 49x - 102 = 0

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

(x - 2 ) (x + 51)

To summarize, since -2 and 51 multiply to -102 and add up 49, you know that the following is true:

x² + 49x - 102 = (x - 2 ) (x + 51)

Multiply To One Number and Add Up To Another
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