What two numbers multiply to 58 and add up to -59?

Here we answer the question: "What two numbers multiply to 58 and add up to -59?"

The answer to your question is:

-58 and -1

Below we illustrate and prove that -58 and -1 multiply to 58 and add up to -59:

-58 × -1 = 58
-58 + -1 = -59

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

x² - 59x + 58 = 0

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

(x - 58 ) (x - 1)

To summarize, since -58 and -1 multiply to 58 and add up -59, you know that the following is true:

x² - 59x + 58 = (x - 58 ) (x - 1)

Multiply To One Number and Add Up To Another
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