What two numbers multiply to -75 and add up to 74?

Here we answer the question: "What two numbers multiply to -75 and add up to 74?"

The answer to your question is:

-1 and 75

Below we illustrate and prove that -1 and 75 multiply to -75 and add up to 74:

-1 × 75 = -75
-1 + 75 = 74

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

x² + 74x - 75 = 0

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

(x - 1 ) (x + 75)

To summarize, since -1 and 75 multiply to -75 and add up 74, you know that the following is true:

x² + 74x - 75 = (x - 1 ) (x + 75)

Multiply To One Number and Add Up To Another
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