What two numbers multiply to 288 and add up to -34?

Here we answer the question: "What two numbers multiply to 288 and add up to -34?"

The answer to your question is:

-18 and -16

Below we illustrate and prove that -18 and -16 multiply to 288 and add up to -34:

-18 × -16 = 288
-18 + -16 = -34

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

x² - 34x + 288 = 0

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

(x - 18 ) (x - 16)

To summarize, since -18 and -16 multiply to 288 and add up -34, you know that the following is true:

x² - 34x + 288 = (x - 18 ) (x - 16)

Multiply To One Number and Add Up To Another
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