What two numbers multiply to 36 and add up to -13?

Here we answer the question: "What two numbers multiply to 36 and add up to -13?"

The answer to your question is:

-9 and -4

Below we illustrate and prove that -9 and -4 multiply to 36 and add up to -13:

-9 × -4 = 36
-9 + -4 = -13

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

x² - 13x + 36 = 0

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

(x - 9 ) (x - 4)

To summarize, since -9 and -4 multiply to 36 and add up -13, you know that the following is true:

x² - 13x + 36 = (x - 9 ) (x - 4)

Multiply To One Number and Add Up To Another
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