What two numbers multiply to 105 and add up to 38?

Here we answer the question: "What two numbers multiply to 105 and add up to 38?"

The answer to your question is:

3 and 35

Below we illustrate and prove that 3 and 35 multiply to 105 and add up to 38:

3 × 35 = 105
3 + 35 = 38

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

x² + 38x + 105 = 0

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

(x + 3 ) (x + 35)

To summarize, since 3 and 35 multiply to 105 and add up 38, you know that the following is true:

x² + 38x + 105 = (x + 3 ) (x + 35)

Multiply To One Number and Add Up To Another
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