What two numbers multiply to -500 and add up to 95?

Here we answer the question: "What two numbers multiply to -500 and add up to 95?"

The answer to your question is:

-5 and 100

Below we illustrate and prove that -5 and 100 multiply to -500 and add up to 95:

-5 × 100 = -500
-5 + 100 = 95

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

x² + 95x - 500 = 0

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

(x - 5 ) (x + 100)

To summarize, since -5 and 100 multiply to -500 and add up 95, you know that the following is true:

x² + 95x - 500 = (x - 5 ) (x + 100)

Multiply To One Number and Add Up To Another
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