What two numbers multiply to -408 and add up to 7?

Here we answer the question: "What two numbers multiply to -408 and add up to 7?"

The answer to your question is:

-17 and 24

Below we illustrate and prove that -17 and 24 multiply to -408 and add up to 7:

-17 × 24 = -408
-17 + 24 = 7

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

x² + 7x - 408 = 0

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

(x - 17 ) (x + 24)

To summarize, since -17 and 24 multiply to -408 and add up 7, you know that the following is true:

x² + 7x - 408 = (x - 17 ) (x + 24)

Multiply To One Number and Add Up To Another
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