What two numbers multiply to -212 and add up to 49?

Here we answer the question: "What two numbers multiply to -212 and add up to 49?"

The answer to your question is:

-4 and 53

Below we illustrate and prove that -4 and 53 multiply to -212 and add up to 49:

-4 × 53 = -212
-4 + 53 = 49

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

x² + 49x - 212 = 0

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

(x - 4 ) (x + 53)

To summarize, since -4 and 53 multiply to -212 and add up 49, you know that the following is true:

x² + 49x - 212 = (x - 4 ) (x + 53)

Multiply To One Number and Add Up To Another
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