What two numbers multiply to -486 and add up to 45?

Here we answer the question: "What two numbers multiply to -486 and add up to 45?"

The answer to your question is:

-9 and 54

Below we illustrate and prove that -9 and 54 multiply to -486 and add up to 45:

-9 × 54 = -486
-9 + 54 = 45

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

x² + 45x - 486 = 0

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

(x - 9 ) (x + 54)

To summarize, since -9 and 54 multiply to -486 and add up 45, you know that the following is true:

x² + 45x - 486 = (x - 9 ) (x + 54)

Multiply To One Number and Add Up To Another
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