What two numbers multiply to -312 and add up to -101?

Here we answer the question: "What two numbers multiply to -312 and add up to -101?"

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 -101:

-104 × 3 = -312
-104 + 3 = -101

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

x² - 101x - 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 -101, you know that the following is true:

x² - 101x - 312 = (x - 104 ) (x + 3)

Multiply To One Number and Add Up To Another
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