What two numbers multiply to 1000 and add up to 70?

Here we answer the question: "What two numbers multiply to 1000 and add up to 70?"

The answer to your question is:

20 and 50

Below we illustrate and prove that 20 and 50 multiply to 1000 and add up to 70:

20 × 50 = 1000
20 + 50 = 70

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

x² + 70x + 1000 = 0

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

(x + 20 ) (x + 50)

To summarize, since 20 and 50 multiply to 1000 and add up 70, you know that the following is true:

x² + 70x + 1000 = (x + 20 ) (x + 50)

Multiply To One Number and Add Up To Another
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