What two numbers multiply to 969 and add up to -74?

Here we answer the question: "What two numbers multiply to 969 and add up to -74?"

The answer to your question is:

-57 and -17

Below we illustrate and prove that -57 and -17 multiply to 969 and add up to -74:

-57 × -17 = 969
-57 + -17 = -74

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

x² - 74x + 969 = 0

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

(x - 57 ) (x - 17)

To summarize, since -57 and -17 multiply to 969 and add up -74, you know that the following is true:

x² - 74x + 969 = (x - 57 ) (x - 17)

Multiply To One Number and Add Up To Another
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