What two numbers multiply to -750 and add up to -65?

Here we answer the question: "What two numbers multiply to -750 and add up to -65?"

The answer to your question is:

-75 and 10

Below we illustrate and prove that -75 and 10 multiply to -750 and add up to -65:

-75 × 10 = -750
-75 + 10 = -65

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

x² - 65x - 750 = 0

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

(x - 75 ) (x + 10)

To summarize, since -75 and 10 multiply to -750 and add up -65, you know that the following is true:

x² - 65x - 750 = (x - 75 ) (x + 10)

Multiply To One Number and Add Up To Another
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