What two numbers multiply to -114 and add up to 55?

Here we answer the question: "What two numbers multiply to -114 and add up to 55?"

The answer to your question is:

-2 and 57

Below we illustrate and prove that -2 and 57 multiply to -114 and add up to 55:

-2 × 57 = -114
-2 + 57 = 55

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

x² + 55x - 114 = 0

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

(x - 2 ) (x + 57)

To summarize, since -2 and 57 multiply to -114 and add up 55, you know that the following is true:

x² + 55x - 114 = (x - 2 ) (x + 57)

Multiply To One Number and Add Up To Another
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