What two numbers multiply to -76 and add up to 75?

Here we answer the question: "What two numbers multiply to -76 and add up to 75?"

The answer to your question is:

-1 and 76

Below we illustrate and prove that -1 and 76 multiply to -76 and add up to 75:

-1 × 76 = -76
-1 + 76 = 75

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

x² + 75x - 76 = 0

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

(x - 1 ) (x + 76)

To summarize, since -1 and 76 multiply to -76 and add up 75, you know that the following is true:

x² + 75x - 76 = (x - 1 ) (x + 76)

Multiply To One Number and Add Up To Another
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