What two numbers multiply to 58 and add up to -31?

Here we answer the question: "What two numbers multiply to 58 and add up to -31?"

The answer to your question is:

-29 and -2

Below we illustrate and prove that -29 and -2 multiply to 58 and add up to -31:

-29 × -2 = 58
-29 + -2 = -31

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

x² - 31x + 58 = 0

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

(x - 29 ) (x - 2)

To summarize, since -29 and -2 multiply to 58 and add up -31, you know that the following is true:

x² - 31x + 58 = (x - 29 ) (x - 2)

Multiply To One Number and Add Up To Another
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