What two numbers multiply to -624 and add up to 205?

Here we answer the question: "What two numbers multiply to -624 and add up to 205?"

The answer to your question is:

-3 and 208

Below we illustrate and prove that -3 and 208 multiply to -624 and add up to 205:

-3 × 208 = -624
-3 + 208 = 205

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

x² + 205x - 624 = 0

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

(x - 3 ) (x + 208)

To summarize, since -3 and 208 multiply to -624 and add up 205, you know that the following is true:

x² + 205x - 624 = (x - 3 ) (x + 208)

Multiply To One Number and Add Up To Another
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