What two numbers multiply to 300 and add up to 35?

Here we answer the question: "What two numbers multiply to 300 and add up to 35?"

The answer to your question is:

15 and 20

Below we illustrate and prove that 15 and 20 multiply to 300 and add up to 35:

15 × 20 = 300
15 + 20 = 35

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

x² + 35x + 300 = 0

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

(x + 15 ) (x + 20)

To summarize, since 15 and 20 multiply to 300 and add up 35, you know that the following is true:

x² + 35x + 300 = (x + 15 ) (x + 20)

Multiply To One Number and Add Up To Another
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