What two numbers multiply to 306 and add up to 105?

Here we answer the question: "What two numbers multiply to 306 and add up to 105?"

The answer to your question is:

3 and 102

Below we illustrate and prove that 3 and 102 multiply to 306 and add up to 105:

3 × 102 = 306
3 + 102 = 105

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

x² + 105x + 306 = 0

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

(x + 3 ) (x + 102)

To summarize, since 3 and 102 multiply to 306 and add up 105, you know that the following is true:

x² + 105x + 306 = (x + 3 ) (x + 102)

Multiply To One Number and Add Up To Another
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