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

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

The answer to your question is:

-74 and -1

Below we illustrate and prove that -74 and -1 multiply to 74 and add up to -75:

-74 × -1 = 74
-74 + -1 = -75

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

x² - 75x + 74 = 0

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

(x - 74 ) (x - 1)

To summarize, since -74 and -1 multiply to 74 and add up -75, you know that the following is true:

x² - 75x + 74 = (x - 74 ) (x - 1)

Multiply To One Number and Add Up To Another
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