What two numbers multiply to 122 and add up to 123?

Here we answer the question: "What two numbers multiply to 122 and add up to 123?"

The answer to your question is:

1 and 122

Below we illustrate and prove that 1 and 122 multiply to 122 and add up to 123:

1 × 122 = 122
1 + 122 = 123

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

x² + 123x + 122 = 0

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

(x + 1 ) (x + 122)

To summarize, since 1 and 122 multiply to 122 and add up 123, you know that the following is true:

x² + 123x + 122 = (x + 1 ) (x + 122)

Multiply To One Number and Add Up To Another
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