What two numbers multiply to 126 and add up to -45?

Here we answer the question: "What two numbers multiply to 126 and add up to -45?"

The answer to your question is:

-42 and -3

Below we illustrate and prove that -42 and -3 multiply to 126 and add up to -45:

-42 × -3 = 126
-42 + -3 = -45

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

x² - 45x + 126 = 0

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

(x - 42 ) (x - 3)

To summarize, since -42 and -3 multiply to 126 and add up -45, you know that the following is true:

x² - 45x + 126 = (x - 42 ) (x - 3)

Multiply To One Number and Add Up To Another
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