What two numbers multiply to 73 and add up to -74?

Here we answer the question: "What two numbers multiply to 73 and add up to -74?"

The answer to your question is:

-73 and -1

Below we illustrate and prove that -73 and -1 multiply to 73 and add up to -74:

-73 × -1 = 73
-73 + -1 = -74

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

x² - 74x + 73 = 0

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

(x - 73 ) (x - 1)

To summarize, since -73 and -1 multiply to 73 and add up -74, you know that the following is true:

x² - 74x + 73 = (x - 73 ) (x - 1)

Multiply To One Number and Add Up To Another
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