What two numbers multiply to 55 and add up to -16?

Here we answer the question: "What two numbers multiply to 55 and add up to -16?"

The answer to your question is:

-11 and -5

Below we illustrate and prove that -11 and -5 multiply to 55 and add up to -16:

-11 × -5 = 55
-11 + -5 = -16

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

x² - 16x + 55 = 0

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

(x - 11 ) (x - 5)

To summarize, since -11 and -5 multiply to 55 and add up -16, you know that the following is true:

x² - 16x + 55 = (x - 11 ) (x - 5)

Multiply To One Number and Add Up To Another
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