What two numbers multiply to -280 and add up to 27?

Here we answer the question: "What two numbers multiply to -280 and add up to 27?"

The answer to your question is:

-8 and 35

Below we illustrate and prove that -8 and 35 multiply to -280 and add up to 27:

-8 × 35 = -280
-8 + 35 = 27

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

x² + 27x - 280 = 0

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

(x - 8 ) (x + 35)

To summarize, since -8 and 35 multiply to -280 and add up 27, you know that the following is true:

x² + 27x - 280 = (x - 8 ) (x + 35)

Multiply To One Number and Add Up To Another
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