What two numbers multiply to 114 and add up to -59?

Here we answer the question: "What two numbers multiply to 114 and add up to -59?"

The answer to your question is:

-57 and -2

Below we illustrate and prove that -57 and -2 multiply to 114 and add up to -59:

-57 × -2 = 114
-57 + -2 = -59

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

x² - 59x + 114 = 0

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

(x - 57 ) (x - 2)

To summarize, since -57 and -2 multiply to 114 and add up -59, you know that the following is true:

x² - 59x + 114 = (x - 57 ) (x - 2)

Multiply To One Number and Add Up To Another
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