What two numbers multiply to 400 and add up to 85?

Here we answer the question: "What two numbers multiply to 400 and add up to 85?"

The answer to your question is:

5 and 80

Below we illustrate and prove that 5 and 80 multiply to 400 and add up to 85:

5 × 80 = 400
5 + 80 = 85

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

x² + 85x + 400 = 0

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

(x + 5 ) (x + 80)

To summarize, since 5 and 80 multiply to 400 and add up 85, you know that the following is true:

x² + 85x + 400 = (x + 5 ) (x + 80)

Multiply To One Number and Add Up To Another
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