What two numbers multiply to -414 and add up to 63?

Here we answer the question: "What two numbers multiply to -414 and add up to 63?"

The answer to your question is:

-6 and 69

Below we illustrate and prove that -6 and 69 multiply to -414 and add up to 63:

-6 × 69 = -414
-6 + 69 = 63

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

x² + 63x - 414 = 0

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

(x - 6 ) (x + 69)

To summarize, since -6 and 69 multiply to -414 and add up 63, you know that the following is true:

x² + 63x - 414 = (x - 6 ) (x + 69)

Multiply To One Number and Add Up To Another
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