What two numbers multiply to 306 and add up to 35?

Here we answer the question: "What two numbers multiply to 306 and add up to 35?"

The answer to your question is:

17 and 18

Below we illustrate and prove that 17 and 18 multiply to 306 and add up to 35:

17 × 18 = 306
17 + 18 = 35

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

x² + 35x + 306 = 0

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

(x + 17 ) (x + 18)

To summarize, since 17 and 18 multiply to 306 and add up 35, you know that the following is true:

x² + 35x + 306 = (x + 17 ) (x + 18)

Multiply To One Number and Add Up To Another
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