What two numbers multiply to 416 and add up to -45?

Here we answer the question: "What two numbers multiply to 416 and add up to -45?"

The answer to your question is:

-32 and -13

Below we illustrate and prove that -32 and -13 multiply to 416 and add up to -45:

-32 × -13 = 416
-32 + -13 = -45

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

x² - 45x + 416 = 0

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

(x - 32 ) (x - 13)

To summarize, since -32 and -13 multiply to 416 and add up -45, you know that the following is true:

x² - 45x + 416 = (x - 32 ) (x - 13)

Multiply To One Number and Add Up To Another
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