What two numbers multiply to -174 and add up to 55?

Here we answer the question: "What two numbers multiply to -174 and add up to 55?"

The answer to your question is:

-3 and 58

Below we illustrate and prove that -3 and 58 multiply to -174 and add up to 55:

-3 × 58 = -174
-3 + 58 = 55

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

x² + 55x - 174 = 0

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

(x - 3 ) (x + 58)

To summarize, since -3 and 58 multiply to -174 and add up 55, you know that the following is true:

x² + 55x - 174 = (x - 3 ) (x + 58)

Multiply To One Number and Add Up To Another
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