What two numbers multiply to 500 and add up to -105?

Here we answer the question: "What two numbers multiply to 500 and add up to -105?"

The answer to your question is:

-100 and -5

Below we illustrate and prove that -100 and -5 multiply to 500 and add up to -105:

-100 × -5 = 500
-100 + -5 = -105

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

x² - 105x + 500 = 0

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

(x - 100 ) (x - 5)

To summarize, since -100 and -5 multiply to 500 and add up -105, you know that the following is true:

x² - 105x + 500 = (x - 100 ) (x - 5)

Multiply To One Number and Add Up To Another
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