What two numbers multiply to -213 and add up to 68?

Here we answer the question: "What two numbers multiply to -213 and add up to 68?"

The answer to your question is:

-3 and 71

Below we illustrate and prove that -3 and 71 multiply to -213 and add up to 68:

-3 × 71 = -213
-3 + 71 = 68

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

x² + 68x - 213 = 0

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

(x - 3 ) (x + 71)

To summarize, since -3 and 71 multiply to -213 and add up 68, you know that the following is true:

x² + 68x - 213 = (x - 3 ) (x + 71)

Multiply To One Number and Add Up To Another
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