What two numbers multiply to 31 and add up to -32?

Here we answer the question: "What two numbers multiply to 31 and add up to -32?"

The answer to your question is:

-31 and -1

Below we illustrate and prove that -31 and -1 multiply to 31 and add up to -32:

-31 × -1 = 31
-31 + -1 = -32

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

x² - 32x + 31 = 0

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

(x - 31 ) (x - 1)

To summarize, since -31 and -1 multiply to 31 and add up -32, you know that the following is true:

x² - 32x + 31 = (x - 31 ) (x - 1)

Multiply To One Number and Add Up To Another
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