What two numbers multiply to -196 and add up to 45?

Here we answer the question: "What two numbers multiply to -196 and add up to 45?"

The answer to your question is:

-4 and 49

Below we illustrate and prove that -4 and 49 multiply to -196 and add up to 45:

-4 × 49 = -196
-4 + 49 = 45

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

x² + 45x - 196 = 0

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

(x - 4 ) (x + 49)

To summarize, since -4 and 49 multiply to -196 and add up 45, you know that the following is true:

x² + 45x - 196 = (x - 4 ) (x + 49)

Multiply To One Number and Add Up To Another
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