What two numbers multiply to 213 and add up to -74?

Here we answer the question: "What two numbers multiply to 213 and add up to -74?"

The answer to your question is:

-71 and -3

Below we illustrate and prove that -71 and -3 multiply to 213 and add up to -74:

-71 × -3 = 213
-71 + -3 = -74

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

x² - 74x + 213 = 0

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

(x - 71 ) (x - 3)

To summarize, since -71 and -3 multiply to 213 and add up -74, you know that the following is true:

x² - 74x + 213 = (x - 71 ) (x - 3)

Multiply To One Number and Add Up To Another
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