What two numbers multiply to -114 and add up to -35?

Here we answer the question: "What two numbers multiply to -114 and add up to -35?"

The answer to your question is:

-38 and 3

Below we illustrate and prove that -38 and 3 multiply to -114 and add up to -35:

-38 × 3 = -114
-38 + 3 = -35

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

x² - 35x - 114 = 0

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

(x - 38 ) (x + 3)

To summarize, since -38 and 3 multiply to -114 and add up -35, you know that the following is true:

x² - 35x - 114 = (x - 38 ) (x + 3)

Multiply To One Number and Add Up To Another
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