What two numbers multiply to 312 and add up to 107?

Here we answer the question: "What two numbers multiply to 312 and add up to 107?"

The answer to your question is:

3 and 104

Below we illustrate and prove that 3 and 104 multiply to 312 and add up to 107:

3 × 104 = 312
3 + 104 = 107

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

x² + 107x + 312 = 0

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

(x + 3 ) (x + 104)

To summarize, since 3 and 104 multiply to 312 and add up 107, you know that the following is true:

x² + 107x + 312 = (x + 3 ) (x + 104)

Multiply To One Number and Add Up To Another
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