What two numbers multiply to -584 and add up to 65?

Here we answer the question: "What two numbers multiply to -584 and add up to 65?"

The answer to your question is:

-8 and 73

Below we illustrate and prove that -8 and 73 multiply to -584 and add up to 65:

-8 × 73 = -584
-8 + 73 = 65

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

x² + 65x - 584 = 0

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

(x - 8 ) (x + 73)

To summarize, since -8 and 73 multiply to -584 and add up 65, you know that the following is true:

x² + 65x - 584 = (x - 8 ) (x + 73)

Multiply To One Number and Add Up To Another
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