What two numbers multiply to 624 and add up to 64?

Here we answer the question: "What two numbers multiply to 624 and add up to 64?"

The answer to your question is:

12 and 52

Below we illustrate and prove that 12 and 52 multiply to 624 and add up to 64:

12 × 52 = 624
12 + 52 = 64

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

x² + 64x + 624 = 0

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

(x + 12 ) (x + 52)

To summarize, since 12 and 52 multiply to 624 and add up 64, you know that the following is true:

x² + 64x + 624 = (x + 12 ) (x + 52)

Multiply To One Number and Add Up To Another
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