What two numbers multiply to 585 and add up to 122?

Here we answer the question: "What two numbers multiply to 585 and add up to 122?"

The answer to your question is:

5 and 117

Below we illustrate and prove that 5 and 117 multiply to 585 and add up to 122:

5 × 117 = 585
5 + 117 = 122

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

x² + 122x + 585 = 0

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

(x + 5 ) (x + 117)

To summarize, since 5 and 117 multiply to 585 and add up 122, you know that the following is true:

x² + 122x + 585 = (x + 5 ) (x + 117)

Multiply To One Number and Add Up To Another
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