What two numbers multiply to -72 and add up to 34?

Here we answer the question: "What two numbers multiply to -72 and add up to 34?"

The answer to your question is:

-2 and 36

Below we illustrate and prove that -2 and 36 multiply to -72 and add up to 34:

-2 × 36 = -72
-2 + 36 = 34

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

x² + 34x - 72 = 0

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

(x - 2 ) (x + 36)

To summarize, since -2 and 36 multiply to -72 and add up 34, you know that the following is true:

x² + 34x - 72 = (x - 2 ) (x + 36)

Multiply To One Number and Add Up To Another
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