What two numbers multiply to 749 and add up to 114?

Here we answer the question: "What two numbers multiply to 749 and add up to 114?"

The answer to your question is:

7 and 107

Below we illustrate and prove that 7 and 107 multiply to 749 and add up to 114:

7 × 107 = 749
7 + 107 = 114

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

x² + 114x + 749 = 0

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

(x + 7 ) (x + 107)

To summarize, since 7 and 107 multiply to 749 and add up 114, you know that the following is true:

x² + 114x + 749 = (x + 7 ) (x + 107)

Multiply To One Number and Add Up To Another
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