What two numbers multiply to 689 and add up to -66?

Here we answer the question: "What two numbers multiply to 689 and add up to -66?"

The answer to your question is:

-53 and -13

Below we illustrate and prove that -53 and -13 multiply to 689 and add up to -66:

-53 × -13 = 689
-53 + -13 = -66

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

x² - 66x + 689 = 0

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

(x - 53 ) (x - 13)

To summarize, since -53 and -13 multiply to 689 and add up -66, you know that the following is true:

x² - 66x + 689 = (x - 53 ) (x - 13)

Multiply To One Number and Add Up To Another
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