What two numbers multiply to -282 and add up to 41?

Here we answer the question: "What two numbers multiply to -282 and add up to 41?"

The answer to your question is:

-6 and 47

Below we illustrate and prove that -6 and 47 multiply to -282 and add up to 41:

-6 × 47 = -282
-6 + 47 = 41

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

x² + 41x - 282 = 0

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

(x - 6 ) (x + 47)

To summarize, since -6 and 47 multiply to -282 and add up 41, you know that the following is true:

x² + 41x - 282 = (x - 6 ) (x + 47)

Multiply To One Number and Add Up To Another
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