What two numbers multiply to 174 and add up to -61?

Here we answer the question: "What two numbers multiply to 174 and add up to -61?"

The answer to your question is:

-58 and -3

Below we illustrate and prove that -58 and -3 multiply to 174 and add up to -61:

-58 × -3 = 174
-58 + -3 = -61

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

x² - 61x + 174 = 0

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

(x - 58 ) (x - 3)

To summarize, since -58 and -3 multiply to 174 and add up -61, you know that the following is true:

x² - 61x + 174 = (x - 58 ) (x - 3)

Multiply To One Number and Add Up To Another
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