What two numbers multiply to -972 and add up to 971?

Here we answer the question: "What two numbers multiply to -972 and add up to 971?"

The answer to your question is:

-1 and 972

Below we illustrate and prove that -1 and 972 multiply to -972 and add up to 971:

-1 × 972 = -972
-1 + 972 = 971

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

x² + 971x - 972 = 0

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

(x - 1 ) (x + 972)

To summarize, since -1 and 972 multiply to -972 and add up 971, you know that the following is true:

x² + 971x - 972 = (x - 1 ) (x + 972)

Multiply To One Number and Add Up To Another
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