What two numbers multiply to 460 and add up to 461?

Here we answer the question: "What two numbers multiply to 460 and add up to 461?"

The answer to your question is:

1 and 460

Below we illustrate and prove that 1 and 460 multiply to 460 and add up to 461:

1 × 460 = 460
1 + 460 = 461

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

x² + 461x + 460 = 0

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

(x + 1 ) (x + 460)

To summarize, since 1 and 460 multiply to 460 and add up 461, you know that the following is true:

x² + 461x + 460 = (x + 1 ) (x + 460)

Multiply To One Number and Add Up To Another
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