What two numbers multiply to 424 and add up to -61?

Here we answer the question: "What two numbers multiply to 424 and add up to -61?"

The answer to your question is:

-53 and -8

Below we illustrate and prove that -53 and -8 multiply to 424 and add up to -61:

-53 × -8 = 424
-53 + -8 = -61

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

x² - 61x + 424 = 0

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

(x - 53 ) (x - 8)

To summarize, since -53 and -8 multiply to 424 and add up -61, you know that the following is true:

x² - 61x + 424 = (x - 53 ) (x - 8)

Multiply To One Number and Add Up To Another
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