What two numbers multiply to -735 and add up to 14?

Here we answer the question: "What two numbers multiply to -735 and add up to 14?"

The answer to your question is:

-21 and 35

Below we illustrate and prove that -21 and 35 multiply to -735 and add up to 14:

-21 × 35 = -735
-21 + 35 = 14

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

x² + 14x - 735 = 0

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

(x - 21 ) (x + 35)

To summarize, since -21 and 35 multiply to -735 and add up 14, you know that the following is true:

x² + 14x - 735 = (x - 21 ) (x + 35)

Multiply To One Number and Add Up To Another
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