What two numbers multiply to -46 and add up to 21?

Here we answer the question: "What two numbers multiply to -46 and add up to 21?"

The answer to your question is:

-2 and 23

Below we illustrate and prove that -2 and 23 multiply to -46 and add up to 21:

-2 × 23 = -46
-2 + 23 = 21

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

x² + 21x - 46 = 0

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

(x - 2 ) (x + 23)

To summarize, since -2 and 23 multiply to -46 and add up 21, you know that the following is true:

x² + 21x - 46 = (x - 2 ) (x + 23)

Multiply To One Number and Add Up To Another
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