What two numbers multiply to -75 and add up to -22?

Here we answer the question: "What two numbers multiply to -75 and add up to -22?"

The answer to your question is:

-25 and 3

Below we illustrate and prove that -25 and 3 multiply to -75 and add up to -22:

-25 × 3 = -75
-25 + 3 = -22

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

x² - 22x - 75 = 0

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

(x - 25 ) (x + 3)

To summarize, since -25 and 3 multiply to -75 and add up -22, you know that the following is true:

x² - 22x - 75 = (x - 25 ) (x + 3)

Multiply To One Number and Add Up To Another
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