What two numbers multiply to -33 and add up to 8?

Here we answer the question: "What two numbers multiply to -33 and add up to 8?"

The answer to your question is:

-3 and 11

Below we illustrate and prove that -3 and 11 multiply to -33 and add up to 8:

-3 × 11 = -33
-3 + 11 = 8

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

x² + 8x - 33 = 0

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

(x - 3 ) (x + 11)

To summarize, since -3 and 11 multiply to -33 and add up 8, you know that the following is true:

x² + 8x - 33 = (x - 3 ) (x + 11)

Multiply To One Number and Add Up To Another
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