What two numbers multiply to 105 and add up to -22?

Here we answer the question: "What two numbers multiply to 105 and add up to -22?"

The answer to your question is:

-15 and -7

Below we illustrate and prove that -15 and -7 multiply to 105 and add up to -22:

-15 × -7 = 105
-15 + -7 = -22

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

x² - 22x + 105 = 0

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

(x - 15 ) (x - 7)

To summarize, since -15 and -7 multiply to 105 and add up -22, you know that the following is true:

x² - 22x + 105 = (x - 15 ) (x - 7)

Multiply To One Number and Add Up To Another
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