What two numbers multiply to 406 and add up to 65?

Here we answer the question: "What two numbers multiply to 406 and add up to 65?"

The answer to your question is:

7 and 58

Below we illustrate and prove that 7 and 58 multiply to 406 and add up to 65:

7 × 58 = 406
7 + 58 = 65

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

x² + 65x + 406 = 0

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

(x + 7 ) (x + 58)

To summarize, since 7 and 58 multiply to 406 and add up 65, you know that the following is true:

x² + 65x + 406 = (x + 7 ) (x + 58)

Multiply To One Number and Add Up To Another
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