What two numbers multiply to -975 and add up to 62?

Here we answer the question: "What two numbers multiply to -975 and add up to 62?"

The answer to your question is:

-13 and 75

Below we illustrate and prove that -13 and 75 multiply to -975 and add up to 62:

-13 × 75 = -975
-13 + 75 = 62

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

x² + 62x - 975 = 0

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

(x - 13 ) (x + 75)

To summarize, since -13 and 75 multiply to -975 and add up 62, you know that the following is true:

x² + 62x - 975 = (x - 13 ) (x + 75)

Multiply To One Number and Add Up To Another
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