What two numbers multiply to -570 and add up to 109?

Here we answer the question: "What two numbers multiply to -570 and add up to 109?"

The answer to your question is:

-5 and 114

Below we illustrate and prove that -5 and 114 multiply to -570 and add up to 109:

-5 × 114 = -570
-5 + 114 = 109

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

x² + 109x - 570 = 0

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

(x - 5 ) (x + 114)

To summarize, since -5 and 114 multiply to -570 and add up 109, you know that the following is true:

x² + 109x - 570 = (x - 5 ) (x + 114)

Multiply To One Number and Add Up To Another
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