What two numbers multiply to 900 and add up to -75?

Here we answer the question: "What two numbers multiply to 900 and add up to -75?"

The answer to your question is:

-60 and -15

Below we illustrate and prove that -60 and -15 multiply to 900 and add up to -75:

-60 × -15 = 900
-60 + -15 = -75

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

x² - 75x + 900 = 0

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

(x - 60 ) (x - 15)

To summarize, since -60 and -15 multiply to 900 and add up -75, you know that the following is true:

x² - 75x + 900 = (x - 60 ) (x - 15)

Multiply To One Number and Add Up To Another
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