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:

-35 and -3

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

-35 × -3 = 105
-35 + -3 = -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 - 35 ) (x - 3)

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

x² - 38x + 105 = (x - 35 ) (x - 3)

Multiply To One Number and Add Up To Another
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