What two numbers multiply to -546 and add up to 71?

Here we answer the question: "What two numbers multiply to -546 and add up to 71?"

The answer to your question is:

-7 and 78

Below we illustrate and prove that -7 and 78 multiply to -546 and add up to 71:

-7 × 78 = -546
-7 + 78 = 71

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

x² + 71x - 546 = 0

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

(x - 7 ) (x + 78)

To summarize, since -7 and 78 multiply to -546 and add up 71, you know that the following is true:

x² + 71x - 546 = (x - 7 ) (x + 78)

Multiply To One Number and Add Up To Another
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