What two numbers multiply to 109 and add up to 110?

Here we answer the question: "What two numbers multiply to 109 and add up to 110?"

The answer to your question is:

1 and 109

Below we illustrate and prove that 1 and 109 multiply to 109 and add up to 110:

1 × 109 = 109
1 + 109 = 110

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

x² + 110x + 109 = 0

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

(x + 1 ) (x + 109)

To summarize, since 1 and 109 multiply to 109 and add up 110, you know that the following is true:

x² + 110x + 109 = (x + 1 ) (x + 109)

Multiply To One Number and Add Up To Another
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