What two numbers multiply to -300 and add up to 97?

Here we answer the question: "What two numbers multiply to -300 and add up to 97?"

The answer to your question is:

-3 and 100

Below we illustrate and prove that -3 and 100 multiply to -300 and add up to 97:

-3 × 100 = -300
-3 + 100 = 97

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

x² + 97x - 300 = 0

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

(x - 3 ) (x + 100)

To summarize, since -3 and 100 multiply to -300 and add up 97, you know that the following is true:

x² + 97x - 300 = (x - 3 ) (x + 100)

Multiply To One Number and Add Up To Another
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