What two numbers multiply to 490 and add up to 59?

Here we answer the question: "What two numbers multiply to 490 and add up to 59?"

The answer to your question is:

10 and 49

Below we illustrate and prove that 10 and 49 multiply to 490 and add up to 59:

10 × 49 = 490
10 + 49 = 59

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

x² + 59x + 490 = 0

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

(x + 10 ) (x + 49)

To summarize, since 10 and 49 multiply to 490 and add up 59, you know that the following is true:

x² + 59x + 490 = (x + 10 ) (x + 49)

Multiply To One Number and Add Up To Another
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