What two numbers multiply to -630 and add up to 31?




Here we answer the question: "What two numbers multiply to -630 and add up to 31?"

The answer to your question is:

-14 and 45


Below we illustrate and prove that -14 and 45 multiply to -630 and add up to 31:

-14 × 45 = -630
-14 + 45 = 31

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

x2 + 31x - 630 = 0

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

(x - 14 ) (x + 45)

To summarize, since -14 and 45 multiply to -630 and add up 31, you know that the following is true:

x2 + 31x - 630 = (x - 14 ) (x + 45)


Multiply To One Number and Add Up To Another
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