What two numbers multiply to -286 and add up to 15?

Here we answer the question: "What two numbers multiply to -286 and add up to 15?"

The answer to your question is:

-11 and 26

Below we illustrate and prove that -11 and 26 multiply to -286 and add up to 15:

-11 × 26 = -286
-11 + 26 = 15

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

x² + 15x - 286 = 0

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

(x - 11 ) (x + 26)

To summarize, since -11 and 26 multiply to -286 and add up 15, you know that the following is true:

x² + 15x - 286 = (x - 11 ) (x + 26)

Multiply To One Number and Add Up To Another
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