What two numbers multiply to 45 and add up to -14?

Here we answer the question: "What two numbers multiply to 45 and add up to -14?"

The answer to your question is:

-9 and -5

Below we illustrate and prove that -9 and -5 multiply to 45 and add up to -14:

-9 × -5 = 45
-9 + -5 = -14

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

x² - 14x + 45 = 0

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

(x - 9 ) (x - 5)

To summarize, since -9 and -5 multiply to 45 and add up -14, you know that the following is true:

x² - 14x + 45 = (x - 9 ) (x - 5)

Multiply To One Number and Add Up To Another
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