What two numbers multiply to 105 and add up to -26?

Here we answer the question: "What two numbers multiply to 105 and add up to -26?"

The answer to your question is:

-21 and -5

Below we illustrate and prove that -21 and -5 multiply to 105 and add up to -26:

-21 × -5 = 105
-21 + -5 = -26

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

x² - 26x + 105 = 0

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

(x - 21 ) (x - 5)

To summarize, since -21 and -5 multiply to 105 and add up -26, you know that the following is true:

x² - 26x + 105 = (x - 21 ) (x - 5)

Multiply To One Number and Add Up To Another
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