What two numbers multiply to 75 and add up to -76?

Here we answer the question: "What two numbers multiply to 75 and add up to -76?"

The answer to your question is:

-75 and -1

Below we illustrate and prove that -75 and -1 multiply to 75 and add up to -76:

-75 × -1 = 75
-75 + -1 = -76

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

x² - 76x + 75 = 0

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

(x - 75 ) (x - 1)

To summarize, since -75 and -1 multiply to 75 and add up -76, you know that the following is true:

x² - 76x + 75 = (x - 75 ) (x - 1)

Multiply To One Number and Add Up To Another
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