What two numbers multiply to -214 and add up to 105?

Here we answer the question: "What two numbers multiply to -214 and add up to 105?"

The answer to your question is:

-2 and 107

Below we illustrate and prove that -2 and 107 multiply to -214 and add up to 105:

-2 × 107 = -214
-2 + 107 = 105

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

x² + 105x - 214 = 0

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

(x - 2 ) (x + 107)

To summarize, since -2 and 107 multiply to -214 and add up 105, you know that the following is true:

x² + 105x - 214 = (x - 2 ) (x + 107)

Multiply To One Number and Add Up To Another
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