What two numbers multiply to 89 and add up to -90?

Here we answer the question: "What two numbers multiply to 89 and add up to -90?"

The answer to your question is:

-89 and -1

Below we illustrate and prove that -89 and -1 multiply to 89 and add up to -90:

-89 × -1 = 89
-89 + -1 = -90

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

x² - 90x + 89 = 0

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

(x - 89 ) (x - 1)

To summarize, since -89 and -1 multiply to 89 and add up -90, you know that the following is true:

x² - 90x + 89 = (x - 89 ) (x - 1)

Multiply To One Number and Add Up To Another
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