What two numbers multiply to -470 and add up to 37?

Here we answer the question: "What two numbers multiply to -470 and add up to 37?"

The answer to your question is:

-10 and 47

Below we illustrate and prove that -10 and 47 multiply to -470 and add up to 37:

-10 × 47 = -470
-10 + 47 = 37

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

x² + 37x - 470 = 0

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

(x - 10 ) (x + 47)

To summarize, since -10 and 47 multiply to -470 and add up 37, you know that the following is true:

x² + 37x - 470 = (x - 10 ) (x + 47)

Multiply To One Number and Add Up To Another
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