What two numbers multiply to 1000 and add up to -65?

Here we answer the question: "What two numbers multiply to 1000 and add up to -65?"

The answer to your question is:

-40 and -25

Below we illustrate and prove that -40 and -25 multiply to 1000 and add up to -65:

-40 × -25 = 1000
-40 + -25 = -65

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

x² - 65x + 1000 = 0

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

(x - 40 ) (x - 25)

To summarize, since -40 and -25 multiply to 1000 and add up -65, you know that the following is true:

x² - 65x + 1000 = (x - 40 ) (x - 25)

Multiply To One Number and Add Up To Another
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