What two numbers multiply to 126 and add up to 127?

Here we answer the question: "What two numbers multiply to 126 and add up to 127?"

The answer to your question is:

1 and 126

Below we illustrate and prove that 1 and 126 multiply to 126 and add up to 127:

1 × 126 = 126
1 + 126 = 127

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

x² + 127x + 126 = 0

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

(x + 1 ) (x + 126)

To summarize, since 1 and 126 multiply to 126 and add up 127, you know that the following is true:

x² + 127x + 126 = (x + 1 ) (x + 126)

Multiply To One Number and Add Up To Another
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