What two numbers multiply to 117 and add up to -42?

Here we answer the question: "What two numbers multiply to 117 and add up to -42?"

The answer to your question is:

-39 and -3

Below we illustrate and prove that -39 and -3 multiply to 117 and add up to -42:

-39 × -3 = 117
-39 + -3 = -42

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

x² - 42x + 117 = 0

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

(x - 39 ) (x - 3)

To summarize, since -39 and -3 multiply to 117 and add up -42, you know that the following is true:

x² - 42x + 117 = (x - 39 ) (x - 3)

Multiply To One Number and Add Up To Another
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