What two numbers multiply to 640 and add up to 74?

Here we answer the question: "What two numbers multiply to 640 and add up to 74?"

The answer to your question is:

10 and 64

Below we illustrate and prove that 10 and 64 multiply to 640 and add up to 74:

10 × 64 = 640
10 + 64 = 74

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

x² + 74x + 640 = 0

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

(x + 10 ) (x + 64)

To summarize, since 10 and 64 multiply to 640 and add up 74, you know that the following is true:

x² + 74x + 640 = (x + 10 ) (x + 64)

Multiply To One Number and Add Up To Another
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