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:

-3 and 25

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

-3 × 25 = -75
-3 + 25 = 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 - 3 ) (x + 25)

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

x² + 22x - 75 = (x - 3 ) (x + 25)

Multiply To One Number and Add Up To Another
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