What two numbers multiply to -64 and add up to 63?

Here we answer the question: "What two numbers multiply to -64 and add up to 63?"

The answer to your question is:

-1 and 64

Below we illustrate and prove that -1 and 64 multiply to -64 and add up to 63:

-1 × 64 = -64
-1 + 64 = 63

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

x² + 63x - 64 = 0

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

(x - 1 ) (x + 64)

To summarize, since -1 and 64 multiply to -64 and add up 63, you know that the following is true:

x² + 63x - 64 = (x - 1 ) (x + 64)

Multiply To One Number and Add Up To Another
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