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

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

The answer to your question is:

1 and 63

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

1 × 63 = 63
1 + 63 = 64

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

x² + 64x + 63 = 0

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

(x + 1 ) (x + 63)

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

x² + 64x + 63 = (x + 1 ) (x + 63)

Multiply To One Number and Add Up To Another
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