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:

25 and 40

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

25 × 40 = 1000
25 + 40 = 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 + 25 ) (x + 40)

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

x² + 65x + 1000 = (x + 25 ) (x + 40)

Multiply To One Number and Add Up To Another
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