What two numbers multiply to -174 and add up to 23?

Here we answer the question: "What two numbers multiply to -174 and add up to 23?"

The answer to your question is:

-6 and 29

Below we illustrate and prove that -6 and 29 multiply to -174 and add up to 23:

-6 × 29 = -174
-6 + 29 = 23

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

x² + 23x - 174 = 0

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

(x - 6 ) (x + 29)

To summarize, since -6 and 29 multiply to -174 and add up 23, you know that the following is true:

x² + 23x - 174 = (x - 6 ) (x + 29)

Multiply To One Number and Add Up To Another
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