What two numbers multiply to 65 and add up to -18?

Here we answer the question: "What two numbers multiply to 65 and add up to -18?"

The answer to your question is:

-13 and -5

Below we illustrate and prove that -13 and -5 multiply to 65 and add up to -18:

-13 × -5 = 65
-13 + -5 = -18

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

x² - 18x + 65 = 0

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

(x - 13 ) (x - 5)

To summarize, since -13 and -5 multiply to 65 and add up -18, you know that the following is true:

x² - 18x + 65 = (x - 13 ) (x - 5)

Multiply To One Number and Add Up To Another
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