What two numbers multiply to -315 and add up to 102?

Here we answer the question: "What two numbers multiply to -315 and add up to 102?"

The answer to your question is:

-3 and 105

Below we illustrate and prove that -3 and 105 multiply to -315 and add up to 102:

-3 × 105 = -315
-3 + 105 = 102

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

x² + 102x - 315 = 0

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

(x - 3 ) (x + 105)

To summarize, since -3 and 105 multiply to -315 and add up 102, you know that the following is true:

x² + 102x - 315 = (x - 3 ) (x + 105)

Multiply To One Number and Add Up To Another
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