What two numbers multiply to 412 and add up to 107?

Here we answer the question: "What two numbers multiply to 412 and add up to 107?"

The answer to your question is:

4 and 103

Below we illustrate and prove that 4 and 103 multiply to 412 and add up to 107:

4 × 103 = 412
4 + 103 = 107

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

x² + 107x + 412 = 0

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

(x + 4 ) (x + 103)

To summarize, since 4 and 103 multiply to 412 and add up 107, you know that the following is true:

x² + 107x + 412 = (x + 4 ) (x + 103)

Multiply To One Number and Add Up To Another
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