What two numbers multiply to 900 and add up to -65?

Here we answer the question: "What two numbers multiply to 900 and add up to -65?"

The answer to your question is:

-45 and -20

Below we illustrate and prove that -45 and -20 multiply to 900 and add up to -65:

-45 × -20 = 900
-45 + -20 = -65

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

x² - 65x + 900 = 0

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

(x - 45 ) (x - 20)

To summarize, since -45 and -20 multiply to 900 and add up -65, you know that the following is true:

x² - 65x + 900 = (x - 45 ) (x - 20)

Multiply To One Number and Add Up To Another
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