What two numbers multiply to 475 and add up to -100?

Here we answer the question: "What two numbers multiply to 475 and add up to -100?"

The answer to your question is:

-95 and -5

Below we illustrate and prove that -95 and -5 multiply to 475 and add up to -100:

-95 × -5 = 475
-95 + -5 = -100

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

x² - 100x + 475 = 0

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

(x - 95 ) (x - 5)

To summarize, since -95 and -5 multiply to 475 and add up -100, you know that the following is true:

x² - 100x + 475 = (x - 95 ) (x - 5)

Multiply To One Number and Add Up To Another
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