What two numbers multiply to 456 and add up to 457?

Here we answer the question: "What two numbers multiply to 456 and add up to 457?"

The answer to your question is:

1 and 456

Below we illustrate and prove that 1 and 456 multiply to 456 and add up to 457:

1 × 456 = 456
1 + 456 = 457

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

x² + 457x + 456 = 0

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

(x + 1 ) (x + 456)

To summarize, since 1 and 456 multiply to 456 and add up 457, you know that the following is true:

x² + 457x + 456 = (x + 1 ) (x + 456)

Multiply To One Number and Add Up To Another
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