What two numbers multiply to -414 and add up to 37?

Here we answer the question: "What two numbers multiply to -414 and add up to 37?"

The answer to your question is:

-9 and 46

Below we illustrate and prove that -9 and 46 multiply to -414 and add up to 37:

-9 × 46 = -414
-9 + 46 = 37

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

x² + 37x - 414 = 0

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

(x - 9 ) (x + 46)

To summarize, since -9 and 46 multiply to -414 and add up 37, you know that the following is true:

x² + 37x - 414 = (x - 9 ) (x + 46)

Multiply To One Number and Add Up To Another
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