What two numbers multiply to 312 and add up to -37?

Here we answer the question: "What two numbers multiply to 312 and add up to -37?"

The answer to your question is:

-24 and -13

Below we illustrate and prove that -24 and -13 multiply to 312 and add up to -37:

-24 × -13 = 312
-24 + -13 = -37

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

x² - 37x + 312 = 0

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

(x - 24 ) (x - 13)

To summarize, since -24 and -13 multiply to 312 and add up -37, you know that the following is true:

x² - 37x + 312 = (x - 24 ) (x - 13)

Multiply To One Number and Add Up To Another
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