What two numbers multiply to 470 and add up to 57?

Here we answer the question: "What two numbers multiply to 470 and add up to 57?"

The answer to your question is:

10 and 47

Below we illustrate and prove that 10 and 47 multiply to 470 and add up to 57:

10 × 47 = 470
10 + 47 = 57

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

x² + 57x + 470 = 0

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

(x + 10 ) (x + 47)

To summarize, since 10 and 47 multiply to 470 and add up 57, you know that the following is true:

x² + 57x + 470 = (x + 10 ) (x + 47)

Multiply To One Number and Add Up To Another
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