What two numbers multiply to -36 and add up to 16?

Here we answer the question: "What two numbers multiply to -36 and add up to 16?"

The answer to your question is:

-2 and 18

Below we illustrate and prove that -2 and 18 multiply to -36 and add up to 16:

-2 × 18 = -36
-2 + 18 = 16

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

x² + 16x - 36 = 0

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

(x - 2 ) (x + 18)

To summarize, since -2 and 18 multiply to -36 and add up 16, you know that the following is true:

x² + 16x - 36 = (x - 2 ) (x + 18)

Multiply To One Number and Add Up To Another
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