What two numbers multiply to -120 and add up to 26?

Here we answer the question: "What two numbers multiply to -120 and add up to 26?"

The answer to your question is:

-4 and 30

Below we illustrate and prove that -4 and 30 multiply to -120 and add up to 26:

-4 × 30 = -120
-4 + 30 = 26

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

x² + 26x - 120 = 0

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

(x - 4 ) (x + 30)

To summarize, since -4 and 30 multiply to -120 and add up 26, you know that the following is true:

x² + 26x - 120 = (x - 4 ) (x + 30)

Multiply To One Number and Add Up To Another
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