What two numbers multiply to -288 and add up to 23?

Here we answer the question: "What two numbers multiply to -288 and add up to 23?"

The answer to your question is:

-9 and 32

Below we illustrate and prove that -9 and 32 multiply to -288 and add up to 23:

-9 × 32 = -288
-9 + 32 = 23

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

x² + 23x - 288 = 0

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

(x - 9 ) (x + 32)

To summarize, since -9 and 32 multiply to -288 and add up 23, you know that the following is true:

x² + 23x - 288 = (x - 9 ) (x + 32)

Multiply To One Number and Add Up To Another
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