What two numbers multiply to 784 and add up to -119?

Here we answer the question: "What two numbers multiply to 784 and add up to -119?"

The answer to your question is:

-112 and -7

Below we illustrate and prove that -112 and -7 multiply to 784 and add up to -119:

-112 × -7 = 784
-112 + -7 = -119

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

x² - 119x + 784 = 0

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

(x - 112 ) (x - 7)

To summarize, since -112 and -7 multiply to 784 and add up -119, you know that the following is true:

x² - 119x + 784 = (x - 112 ) (x - 7)

Multiply To One Number and Add Up To Another
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