What two numbers multiply to -75 and add up to -74?

Here we answer the question: "What two numbers multiply to -75 and add up to -74?"

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 -74:

-75 × 1 = -75
-75 + 1 = -74

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

x² - 74x - 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 -74, you know that the following is true:

x² - 74x - 75 = (x - 75 ) (x + 1)

Multiply To One Number and Add Up To Another
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