What two numbers multiply to 64 and add up to 65?

Here we answer the question: "What two numbers multiply to 64 and add up to 65?"

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 65:

1 × 64 = 64
1 + 64 = 65

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

x² + 65x + 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 65, you know that the following is true:

x² + 65x + 64 = (x + 1 ) (x + 64)

Multiply To One Number and Add Up To Another
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