What two numbers multiply to 231 and add up to -32?

Here we answer the question: "What two numbers multiply to 231 and add up to -32?"

The answer to your question is:

-21 and -11

Below we illustrate and prove that -21 and -11 multiply to 231 and add up to -32:

-21 × -11 = 231
-21 + -11 = -32

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

x² - 32x + 231 = 0

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

(x - 21 ) (x - 11)

To summarize, since -21 and -11 multiply to 231 and add up -32, you know that the following is true:

x² - 32x + 231 = (x - 21 ) (x - 11)

Multiply To One Number and Add Up To Another
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