What two numbers multiply to 414 and add up to 415?

Here we answer the question: "What two numbers multiply to 414 and add up to 415?"

The answer to your question is:

1 and 414

Below we illustrate and prove that 1 and 414 multiply to 414 and add up to 415:

1 × 414 = 414
1 + 414 = 415

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

x² + 415x + 414 = 0

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

(x + 1 ) (x + 414)

To summarize, since 1 and 414 multiply to 414 and add up 415, you know that the following is true:

x² + 415x + 414 = (x + 1 ) (x + 414)

Multiply To One Number and Add Up To Another
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