What two numbers multiply to 128 and add up to -24?

Here we answer the question: "What two numbers multiply to 128 and add up to -24?"

The answer to your question is:

-16 and -8

Below we illustrate and prove that -16 and -8 multiply to 128 and add up to -24:

-16 × -8 = 128
-16 + -8 = -24

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

x² - 24x + 128 = 0

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

(x - 16 ) (x - 8)

To summarize, since -16 and -8 multiply to 128 and add up -24, you know that the following is true:

x² - 24x + 128 = (x - 16 ) (x - 8)

Multiply To One Number and Add Up To Another
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