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:

-3 and 104

Below we illustrate and prove that -3 and 104 multiply to -312 and add up to 101:

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

To summarize, since -3 and 104 multiply to -312 and add up 101, you know that the following is true:

x² + 101x - 312 = (x - 3 ) (x + 104)

Multiply To One Number and Add Up To Another
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