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:

-104 and -3

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

-104 × -3 = 312
-104 + -3 = -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 - 104 ) (x - 3)

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

x² - 107x + 312 = (x - 104 ) (x - 3)

Multiply To One Number and Add Up To Another
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