What two numbers multiply to 75 and add up to -28?

Here we answer the question: "What two numbers multiply to 75 and add up to -28?"

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 -28:

-25 × -3 = 75
-25 + -3 = -28

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

x² - 28x + 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 -28, you know that the following is true:

x² - 28x + 75 = (x - 25 ) (x - 3)

Multiply To One Number and Add Up To Another
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