What two numbers multiply to -65 and add up to 8?

Here we answer the question: "What two numbers multiply to -65 and add up to 8?"

The answer to your question is:

-5 and 13

Below we illustrate and prove that -5 and 13 multiply to -65 and add up to 8:

-5 × 13 = -65
-5 + 13 = 8

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

x² + 8x - 65 = 0

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

(x - 5 ) (x + 13)

To summarize, since -5 and 13 multiply to -65 and add up 8, you know that the following is true:

x² + 8x - 65 = (x - 5 ) (x + 13)

Multiply To One Number and Add Up To Another
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