What two numbers multiply to -63 and add up to 18?

Here we answer the question: "What two numbers multiply to -63 and add up to 18?"

The answer to your question is:

-3 and 21

Below we illustrate and prove that -3 and 21 multiply to -63 and add up to 18:

-3 × 21 = -63
-3 + 21 = 18

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

x² + 18x - 63 = 0

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

(x - 3 ) (x + 21)

To summarize, since -3 and 21 multiply to -63 and add up 18, you know that the following is true:

x² + 18x - 63 = (x - 3 ) (x + 21)

Multiply To One Number and Add Up To Another
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