What two numbers multiply to -700 and add up to 15?

Here we answer the question: "What two numbers multiply to -700 and add up to 15?"

The answer to your question is:

-20 and 35

Below we illustrate and prove that -20 and 35 multiply to -700 and add up to 15:

-20 × 35 = -700
-20 + 35 = 15

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

x² + 15x - 700 = 0

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

(x - 20 ) (x + 35)

To summarize, since -20 and 35 multiply to -700 and add up 15, you know that the following is true:

x² + 15x - 700 = (x - 20 ) (x + 35)

Multiply To One Number and Add Up To Another
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