What two numbers multiply to -60 and add up to 7?

Here we answer the question: "What two numbers multiply to -60 and add up to 7?"

The answer to your question is:

-5 and 12

Below we illustrate and prove that -5 and 12 multiply to -60 and add up to 7:

-5 × 12 = -60
-5 + 12 = 7

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

x² + 7x - 60 = 0

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

(x - 5 ) (x + 12)

To summarize, since -5 and 12 multiply to -60 and add up 7, you know that the following is true:

x² + 7x - 60 = (x - 5 ) (x + 12)

Multiply To One Number and Add Up To Another
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